The MTA is putting the city that doesn’t sleep to bed early.

The agency is closing huge swaths of the subway in Manhattan for five weeknights in a row in January to allow for track work to be done, officials announced yesterday.

The closures — which start at 10 p.m. and go until 5 a.m. — begin Jan. 9 on the Lexington Avenue lines from Grand Central Terminal to Atlantic Avenue.

Closures on large parts of the 1, 2 and 3 lines south of 34th Street in Manhattan come a month later, followed by five-day shutdowns on the B, D, F and M lines and then the A, C and E lines.