F9 4409 then AA 3962 at Atlanta
Washington → Atlanta → Washington National
Timetable, Atlanta time
23:13F9 4409 from Washington at the gate
14:24AA 3962 to Washington National leaves the gate
15 h 11 apart on the timetable, overnight
AA 3962 leaves 15 h 11 after F9 4409 arrives on the timetable: more than half a day, so not a connection we count.