40056734256525 has 144 divisors (see below), whose sum is σ = 82096654049280. Its totient is φ = 18289075305600.

The previous prime is 40056734256521. The next prime is 40056734256551. The reversal of 40056734256525 is 52565243765004.

40056734256525 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 6 + 73 + 4 + 2 + 565 + 2 + 5 = 666.

It is not a de Polignac number, because 40056734256525 - 2² = 40056734256521 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40056734256521) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5736318184 + ... + 5736325166.

It is an arithmetic number, because the mean of its divisors is an integer number (570115653120).

Almost surely, 2^{40056734256525} is an apocalyptic number.

40056734256525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40056734256525 is an abundant number, since it is smaller than the sum of its proper divisors (42039919792755).

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

40056734256525 is a wasteful number, since it uses less digits than its factorization.

40056734256525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10976 (or 10968 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 54.

The spelling of 40056734256525 in words is "forty trillion, fifty-six billion, seven hundred thirty-four million, two hundred fifty-six thousand, five hundred twenty-five".