40956 has 12 divisors (see below), whose sum is σ = 95592. Its totient is φ = 13648.

The previous prime is 40949. The next prime is 40961. The reversal of 40956 is 65904.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40956.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1695 + ... + 1718.

It is an arithmetic number, because the mean of its divisors is an integer number (7966).

2⁴⁰⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

40956 is an abundant number, since it is smaller than the sum of its proper divisors (54636).

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 (47796).

40956 is a wasteful number, since it uses less digits than its factorization.

40956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 40956 is about 202.3758878918. The cubic root of 40956 is about 34.4698329026.

It can be divided in two parts, 409 and 56, that added together give a triangular number (465 = T₃₀).

The spelling of 40956 in words is "forty thousand, nine hundred fifty-six".