diff --git a/src/humanize/time.py b/src/humanize/time.py
index 7c4a28eb..3fae6b6c 100644
--- a/src/humanize/time.py
+++ b/src/humanize/time.py
@@ -548,9 +548,21 @@ def precisedelta(
 
     ```
     """
-    date, delta = _date_and_delta(value, precise=True)
-    if date is None:
+    import datetime as dt
+
+    if value is None:
         return str(value)
+    if isinstance(value, dt.datetime):
+        _date, delta = _date_and_delta(value, precise=True)
+    else:
+        try:
+            delta = abs(
+                value
+                if isinstance(value, dt.timedelta)
+                else dt.timedelta(seconds=value)
+            )
+        except (ValueError, TypeError):
+            return str(value)
 
     suppress_set = {Unit[s.upper()] for s in suppress}
 
@@ -565,9 +577,9 @@ def precisedelta(
     suppress_set = _suppress_lower_units(min_unit, suppress_set)
 
     # handy aliases
-    days = delta.days
-    secs = delta.seconds
-    usecs = delta.microseconds
+    days: float = delta.days
+    secs: float = delta.seconds
+    usecs: float = delta.microseconds
 
     MILLISECONDS = Unit.MILLISECONDS
     SECONDS = Unit.SECONDS
diff --git a/tests/test_time.py b/tests/test_time.py
index 887a3fc5..7cc631ad 100644
--- a/tests/test_time.py
+++ b/tests/test_time.py
@@ -838,6 +838,26 @@ def test_precisedelta_suppress_units(
     )
 
 
+@pytest.mark.parametrize(
+    "value, expected",
+    [
+        (dt.timedelta(days=4_000_000), "4000000 days"),
+        (dt.timedelta(days=-4_000_000), "4000000 days"),
+        (4_000_000 * ONE_DAY, "4000000 days"),
+        (-4_000_000 * ONE_DAY, "4000000 days"),
+        (dt.timedelta.min, "999999999 days"),
+        (dt.timedelta.max, "1000000000 days"),
+    ],
+)
+def test_precisedelta_beyond_datetime_range(
+    value: dt.timedelta | float, expected: str
+) -> None:
+    assert (
+        humanize.precisedelta(value, minimum_unit="days", suppress=["years", "months"])
+        == expected
+    )
+
+
 def test_precisedelta_bogus_call() -> None:
     assert humanize.precisedelta(None) == "None"