956440920960 has 1536 divisors, whose sum is σ = 4099287628800. Its totient is φ = 200658124800.

The previous prime is 956440920947. The next prime is 956440920971. The reversal of 956440920960 is 69029044659.

It is a happy number.

956440920960 is a `hidden beast` number, since 9 + 56 + 440 + 92 + 0 + 9 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 956440920897 and 956440920906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4532895255 + ... + 4532895465.

It is an arithmetic number, because the mean of its divisors is an integer number (2668807050).

Almost surely, 2^956440920960 is an apocalyptic number.

956440920960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956440920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049643814400).

956440920960 is an abundant number, since it is smaller than the sum of its proper divisors (3142846707840).

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

956440920960 is a wasteful number, since it uses less digits than its factorization.

956440920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 956440920960 in words is "nine hundred fifty-six billion, four hundred forty million, nine hundred twenty thousand, nine hundred sixty".