40264164 has 72 divisors (see below), whose sum is σ = 106346240. Its totient is φ = 12830400.

The previous prime is 40264157. The next prime is 40264183. The reversal of 40264164 is 46146204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121479 + ... + 121809.

Almost surely, 2^40264164 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 40264164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53173120).

40264164 is an abundant number, since it is smaller than the sum of its proper divisors (66082076).

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

40264164 is a wasteful number, since it uses less digits than its factorization.

40264164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40264164 is about 6345.4049516166. The cubic root of 40264164 is about 342.7463948854.

The spelling of 40264164 in words is "forty million, two hundred sixty-four thousand, one hundred sixty-four".