MySQL UNIX_TIMESTAMP 関数にパラメータとして渡すことができる日時値の範囲はどれくらいですか?

mysql> select UNIX_TIMESTAMP('2038-01-19 08:44:07');
+---------------------------------------+
| UNIX_TIMESTAMP('2038-01-19 08:44:07') |
+---------------------------------------+
| 2147483647                            |
+---------------------------------------+
1 row in set (0.00 sec)

mysql> select UNIX_TIMESTAMP('2038-01-19 08:44:08');
+---------------------------------------+
| UNIX_TIMESTAMP('2038-01-19 08:44:08') |
+---------------------------------------+
|                                   0   |
+---------------------------------------+
1 row in set (0.00 sec)

mysql> select UNIX_TIMESTAMP('1969-01-01 05:10:00');
+---------------------------------------+
| UNIX_TIMESTAMP('1969-01-01 05:10:00') |
+---------------------------------------+
|                                    0  |
+---------------------------------------+
1 row in set (0.00 sec)