956244925440 has 1760 divisors, whose sum is σ = 4117217237760. Its totient is φ = 210300862464.

The previous prime is 956244925403. The next prime is 956244925513. The reversal of 956244925440 is 44529442659.

It is a happy number.

956244925440 is a `hidden beast` number, since 9 + 5 + 6 + 2 + 4 + 4 + 92 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 14272312287 + ... + 14272312353.

It is an arithmetic number, because the mean of its divisors is an integer number (2339327976).

Almost surely, 2^956244925440 is an apocalyptic number.

956244925440 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 956244925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058608618880).

956244925440 is an abundant number, since it is smaller than the sum of its proper divisors (3160972312320).

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

956244925440 is an equidigital number, since it uses as much as digits as its factorization.

956244925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 956244925440 in words is "nine hundred fifty-six billion, two hundred forty-four million, nine hundred twenty-five thousand, four hundred forty".