40959251256960 has 192 divisors, whose sum is σ = 143756061869160. Its totient is φ = 10743410073600.

The previous prime is 40959251256919. The next prime is 40959251256967. The reversal of 40959251256960 is 6965215295904.

40959251256960 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 9 + 2 + 5 + 1 + 2 + 569 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15550151183424 + 25409100073536 = 3943368^2 + 5040744^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (40959251256967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57935371 + ... + 58638090.

Almost surely, 2^{40959251256960} is an apocalyptic number.

40959251256960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40959251256960 is an abundant number, since it is smaller than the sum of its proper divisors (102796810612200).

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

40959251256960 is a wasteful number, since it uses less digits than its factorization.

40959251256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116573547 (or 116573532 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 40959251256960 in words is "forty trillion, nine hundred fifty-nine billion, two hundred fifty-one million, two hundred fifty-six thousand, nine hundred sixty".