4974739900416 has 864 divisors, whose sum is σ = 18009959680440. Its totient is φ = 1309550837760.

The previous prime is 4974739900397. The next prime is 4974739900439. The reversal of 4974739900416 is 6140099374794.

4974739900416 is a `hidden beast` number, since 4 + 97 + 47 + 3 + 9 + 90 + 0 + 416 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4089454617600 + 885285282816 = 2022240^2 + 940896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 492885066 + ... + 492895158.

Almost surely, 2^{4974739900416} 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 4974739900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9004979840220).

4974739900416 is an abundant number, since it is smaller than the sum of its proper divisors (13035219780024).

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

4974739900416 is a wasteful number, since it uses less digits than its factorization.

4974739900416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10173 (or 10139 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 4974739900416 in words is "four trillion, nine hundred seventy-four billion, seven hundred thirty-nine million, nine hundred thousand, four hundred sixteen".