40564125 has 128 divisors (see below), whose sum is σ = 91653120. Its totient is φ = 17280000.

The previous prime is 40564103. The next prime is 40564163. The reversal of 40564125 is 52146504.

It is not a de Polignac number, because 40564125 - 2⁷ = 40563997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 401575 + ... + 401675.

It is an arithmetic number, because the mean of its divisors is an integer number (716040).

Almost surely, 2^40564125 is an apocalyptic number.

40564125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40564125 is an abundant number, since it is smaller than the sum of its proper divisors (51088995).

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

40564125 is a wasteful number, since it uses less digits than its factorization.

40564125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 40564125 is about 6368.9971738100. The cubic root of 40564125 is about 343.5954236140.

The spelling of 40564125 in words is "forty million, five hundred sixty-four thousand, one hundred twenty-five".