A new 42-story building on the edge of Hell’s Kitchen near the West Side Highway will pack in 1,028 rental units, making it one of the largest apartment buildings in New York City.

The Max, at 606 West 57th Street will be located about as far west as one can go before falling into the Hudson River, which may test whether tenants will live in an unconventional area.

Still industrial — nearby 11th Avenue is an easy place to buy a car but not so much a loaf of bread — the neighborhood is also a long walk from the nearest subway at Eighth Avenue.