40056 has 16 divisors (see below), whose sum is σ = 100200. Its totient is φ = 13344.

The previous prime is 40039. The next prime is 40063. The reversal of 40056 is 65004.

40056 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

40056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 811 + ... + 858.

2⁴⁰⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

40056 is an abundant number, since it is smaller than the sum of its proper divisors (60144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50100).

40056 is a wasteful number, since it uses less digits than its factorization.

40056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 40056 is about 200.1399510343. The cubic root of 40056 is about 34.2154712669.

The spelling of 40056 in words is "forty thousand, fifty-six", and thus it is an eban number.