4934400963264 has 336 divisors, whose sum is σ = 16220796412800. Its totient is φ = 1466568364032.

The previous prime is 4934400963259. The next prime is 4934400963293. The reversal of 4934400963264 is 4623690044394.

It is a happy number.

4934400963264 is a `hidden beast` number, since 4 + 93 + 4 + 400 + 96 + 3 + 2 + 64 = 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 4934400963264.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9228427 + ... + 9748469.

It is an arithmetic number, because the mean of its divisors is an integer number (48276179800).

Almost surely, 2^{4934400963264} 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 4934400963264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8110398206400).

4934400963264 is an abundant number, since it is smaller than the sum of its proper divisors (11286395449536).

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

4934400963264 is a wasteful number, since it uses less digits than its factorization.

4934400963264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520117 (or 520084 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 4934400963264 in words is "four trillion, nine hundred thirty-four billion, four hundred million, nine hundred sixty-three thousand, two hundred sixty-four".