40957056 has 128 divisors (see below), whose sum is σ = 138230400. Its totient is φ = 11695104.

The previous prime is 40957013. The next prime is 40957057. The reversal of 40957056 is 65075904.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40957056.

It is not an unprimeable number, because it can be changed into a prime (40957057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23346 + ... + 25038.

It is an arithmetic number, because the mean of its divisors is an integer number (1079925).

Almost surely, 2^40957056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40957056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69115200).

40957056 is an abundant number, since it is smaller than the sum of its proper divisors (97273344).

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

40957056 is a wasteful number, since it uses less digits than its factorization.

40957056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 40957056 is about 6399.7699958670. The cubic root of 40957056 is about 344.7012915409.

The spelling of 40957056 in words is "forty million, nine hundred fifty-seven thousand, fifty-six".