40297085256960 has 324 divisors, whose sum is σ = 162186775546068. Its totient is φ = 9210762215424.

The previous prime is 40297085256949. The next prime is 40297085256971. The reversal of 40297085256960 is 6965258079204.

40297085256960 is a `hidden beast` number, since 4 + 0 + 2 + 9 + 7 + 0 + 8 + 5 + 2 + 569 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (40297085256949) and next prime (40297085256971).

It can be written as a sum of positive squares in 2 ways, for example, as 16057138922496 + 24239946334464 = 4007136^2 + 4923408^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35129509 + ... + 36258468.

Almost surely, 2^{40297085256960} is an apocalyptic number.

40297085256960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40297085256960 is an abundant number, since it is smaller than the sum of its proper divisors (121889690289108).

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

40297085256960 is a wasteful number, since it uses less digits than its factorization.

40297085256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71388018 (or 71387994 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 40297085256960 in words is "forty trillion, two hundred ninety-seven billion, eighty-five million, two hundred fifty-six thousand, nine hundred sixty".