diff --git a/pandas-stubs/core/indexes/multi.pyi b/pandas-stubs/core/indexes/multi.pyi
index 75ecd850b..906df9bbe 100644
--- a/pandas-stubs/core/indexes/multi.pyi
+++ b/pandas-stubs/core/indexes/multi.pyi
@@ -16,6 +16,7 @@ from pandas.core.indexes.base import Index
 from typing_extensions import Self
 
 from pandas._typing import (
+    Axes,
     Dtype,
     DtypeArg,
     HashableT,
@@ -27,31 +28,41 @@ from pandas._typing import (
 class MultiIndex(Index[Any]):
     def __new__(
         cls,
-        levels=...,
-        codes=...,
-        sortorder=...,
+        levels: Sequence[SequenceNotStr[Hashable]] = ...,
+        codes: Sequence[Sequence[int]] = ...,
+        sortorder: int | None = ...,
         names: SequenceNotStr[Hashable] = ...,
-        dtype=...,
-        copy=...,
+        copy: bool = ...,
         name: SequenceNotStr[Hashable] = ...,
         verify_integrity: bool = ...,
-        _set_identity: bool = ...,
     ) -> Self: ...
     @classmethod
     def from_arrays(
-        cls, arrays, sortorder=..., names: SequenceNotStr[Hashable] = ...
+        cls,
+        arrays: Sequence[Axes],
+        sortorder: int | None = ...,
+        names: SequenceNotStr[Hashable] = ...,
     ) -> Self: ...
     @classmethod
     def from_tuples(
-        cls, tuples, sortorder=..., names: SequenceNotStr[Hashable] = ...
+        cls,
+        tuples: Sequence[tuple[Hashable, ...]],
+        sortorder: int | None = ...,
+        names: SequenceNotStr[Hashable] = ...,
     ) -> Self: ...
     @classmethod
     def from_product(
-        cls, iterables, sortorder=..., names: SequenceNotStr[Hashable] = ...
+        cls,
+        iterables: Sequence[SequenceNotStr[Hashable]],
+        sortorder: int | None = ...,
+        names: SequenceNotStr[Hashable] = ...,
     ) -> Self: ...
     @classmethod
     def from_frame(
-        cls, df, sortorder=..., names: SequenceNotStr[Hashable] = ...
+        cls,
+        df: pd.DataFrame,
+        sortorder: int | None = ...,
+        names: SequenceNotStr[Hashable] = ...,
     ) -> Self: ...
     @property
     def shape(self): ...
diff --git a/tests/test_indexes.py b/tests/test_indexes.py
index 06d6d0d14..dedff599e 100644
--- a/tests/test_indexes.py
+++ b/tests/test_indexes.py
@@ -64,7 +64,7 @@ def test_multiindex_get_level_values() -> None:
     check(assert_type(i1, pd.Index), pd.Index)
 
 
-def test_multiindex_constructor() -> None:
+def test_multiindex_constructors() -> None:
     check(
         assert_type(
             pd.MultiIndex([[1], [4]], codes=[[0], [0]], name=["a", "b"]), pd.MultiIndex
@@ -73,10 +73,35 @@ def test_multiindex_constructor() -> None:
     )
     check(
         assert_type(
-            pd.MultiIndex([[1], [4]], codes=[[0], [0]], names=["a", "b"]), pd.MultiIndex
+            pd.MultiIndex(
+                [[1], [4]],
+                codes=[[0], [0]],
+                names=["a", "b"],
+                sortorder=0,
+                copy=True,
+                verify_integrity=True,
+            ),
+            pd.MultiIndex,
+        ),
+        pd.MultiIndex,
+    )
+    check(
+        assert_type(pd.MultiIndex.from_arrays([[1], [4]]), pd.MultiIndex), pd.MultiIndex
+    )
+    check(
+        assert_type(
+            pd.MultiIndex.from_arrays([np.arange(3), np.arange(3)]), pd.MultiIndex
         ),
         pd.MultiIndex,
     )
+    check(
+        assert_type(pd.MultiIndex.from_tuples([(1, 3), (2, 4)]), pd.MultiIndex),
+        pd.MultiIndex,
+    )
+    check(
+        assert_type(pd.MultiIndex.from_frame(pd.DataFrame({"a": [1]})), pd.MultiIndex),
+        pd.MultiIndex,
+    )
 
 
 def test_index_tolist() -> None: