952401936384 has 240 divisors, whose sum is σ = 2825784138240. Its totient is φ = 317024501760.

The previous prime is 952401936377. The next prime is 952401936397. The reversal of 952401936384 is 483639104259.

952401936384 is a `hidden beast` number, since 9 + 5 + 240 + 19 + 3 + 6 + 384 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 952401936384.

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 15 ways as a sum of consecutive naturals, for example, 522435697 + ... + 522437519.

It is an arithmetic number, because the mean of its divisors is an integer number (11774100576).

Almost surely, 2^952401936384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 952401936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412892069120).

952401936384 is an abundant number, since it is smaller than the sum of its proper divisors (1873382201856).

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

952401936384 is a wasteful number, since it uses less digits than its factorization.

952401936384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 952401936384 in words is "nine hundred fifty-two billion, four hundred one million, nine hundred thirty-six thousand, three hundred eighty-four".