40957560 has 96 divisors (see below), whose sum is σ = 152137440. Its totient is φ = 9361152.

The previous prime is 40957547. The next prime is 40957561. The reversal of 40957560 is 6575904.

40957560 is a `hidden beast` number, since 4 + 0 + 95 + 7 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40957561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5607 + ... + 10646.

It is an arithmetic number, because the mean of its divisors is an integer number (1584765).

Almost surely, 2^40957560 is an apocalyptic number.

40957560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40957560 is an abundant number, since it is smaller than the sum of its proper divisors (111179880).

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

40957560 is a wasteful number, since it uses less digits than its factorization.

40957560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16277 (or 16270 counting only the distinct ones).

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

The square root of 40957560 is about 6399.8093721610. The cubic root of 40957560 is about 344.7027054506.

The spelling of 40957560 in words is "forty million, nine hundred fifty-seven thousand, five hundred sixty".