40456164 has 48 divisors (see below), whose sum is σ = 110096000. Its totient is φ = 11557728.

The previous prime is 40456159. The next prime is 40456177. The reversal of 40456164 is 46165404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799 + ... + 9030.

Almost surely, 2^40456164 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 40456164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55048000).

40456164 is an abundant number, since it is smaller than the sum of its proper divisors (69639836).

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

40456164 is a wasteful number, since it uses less digits than its factorization.

40456164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9857 (or 9841 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 40456164 is about 6360.5160168024. The cubic root of 40456164 is about 343.2903275592.

The spelling of 40456164 in words is "forty million, four hundred fifty-six thousand, one hundred sixty-four".