40957920 has 192 divisors, whose sum is σ = 151200000. Its totient is φ = 10326528.

The previous prime is 40957909. The next prime is 40957921. The reversal of 40957920 is 2975904.

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 (40957921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81831 + ... + 82329.

It is an arithmetic number, because the mean of its divisors is an integer number (787500).

Almost surely, 2^40957920 is an apocalyptic number.

40957920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600000).

40957920 is an abundant number, since it is smaller than the sum of its proper divisors (110242080).

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

40957920 is a wasteful number, since it uses less digits than its factorization.

40957920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 40957920 is about 6399.8374979370. The cubic root of 40957920 is about 344.7037153790.

The spelling of 40957920 in words is "forty million, nine hundred fifty-seven thousand, nine hundred twenty".