4934300856960 has 256 divisors, whose sum is σ = 16244292303360. Its totient is φ = 1273199628288.

The previous prime is 4934300856959. The next prime is 4934300857019. The reversal of 4934300856960 is 696580034394.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4934300856960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8554639 + ... + 9113201.

It is an arithmetic number, because the mean of its divisors is an integer number (63454266810).

Almost surely, 2^{4934300856960} is an apocalyptic number.

4934300856960 is a gapful number since it is divisible by the number (40) 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 4934300856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8122146151680).

4934300856960 is an abundant number, since it is smaller than the sum of its proper divisors (11309991446400).

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

4934300856960 is a wasteful number, since it uses less digits than its factorization.

4934300856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558735 (or 558723 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 4934300856960 in words is "four trillion, nine hundred thirty-four billion, three hundred million, eight hundred fifty-six thousand, nine hundred sixty".