40185264 has 80 divisors (see below), whose sum is σ = 119436800. Its totient is φ = 11404800.

The previous prime is 40185227. The next prime is 40185281. The reversal of 40185264 is 46258104.

It is a super-2 number, since 2×40185264² = 3229710885499392, which contains 22 as substring.

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, 66564 + ... + 67164.

It is an arithmetic number, because the mean of its divisors is an integer number (1492960).

Almost surely, 2^40185264 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 40185264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59718400).

40185264 is an abundant number, since it is smaller than the sum of its proper divisors (79251536).

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

40185264 is a wasteful number, since it uses less digits than its factorization.

40185264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 40185264 is about 6339.1848056355. The cubic root of 40185264 is about 342.5223712455.

The spelling of 40185264 in words is "forty million, one hundred eighty-five thousand, two hundred sixty-four".