4974835411584 has 1024 divisors, whose sum is σ = 16922832076800. Its totient is φ = 1429450260480.

The previous prime is 4974835411549. The next prime is 4974835411643. The reversal of 4974835411584 is 4851145384794.

It is a happy number.

4974835411584 is a `hidden beast` number, since 4 + 9 + 7 + 4 + 8 + 3 + 5 + 41 + 1 + 584 = 666.

Its product of digits (77414400) is a multiple of the sum of its prime factors (1350).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4314687552 + ... + 4314688704.

It is an arithmetic number, because the mean of its divisors is an integer number (16526203200).

Almost surely, 2^{4974835411584} 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 4974835411584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8461416038400).

4974835411584 is an abundant number, since it is smaller than the sum of its proper divisors (11947996665216).

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

4974835411584 is a wasteful number, since it uses less digits than its factorization.

4974835411584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1332 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 4974835411584 in words is "four trillion, nine hundred seventy-four billion, eight hundred thirty-five million, four hundred eleven thousand, five hundred eighty-four".