256958632040 has 32 divisors (see below), whose sum is σ = 630716643360. Its totient is φ = 93439502400.

The previous prime is 256958632037. The next prime is 256958632043. The reversal of 256958632040 is 40236859652.

It is an interprime number because it is at equal distance from previous prime (256958632037) and next prime (256958632043).

It is a super-2 number, since 2×256958632040² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 256958632040.

It is not an unprimeable number, because it can be changed into a prime (256958632043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291998006 + ... + 291998885.

It is an arithmetic number, because the mean of its divisors is an integer number (19709895105).

Almost surely, 2^256958632040 is an apocalyptic number.

256958632040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256958632040 is an abundant number, since it is smaller than the sum of its proper divisors (373758011320).

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

256958632040 is a wasteful number, since it uses less digits than its factorization.

256958632040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583996913 (or 583996909 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 50.

The spelling of 256958632040 in words is "two hundred fifty-six billion, nine hundred fifty-eight million, six hundred thirty-two thousand, forty".