4991417285904 has 135 divisors (see below), whose sum is σ = 16250305777797. Its totient is φ = 1426065604992.

The previous prime is 4991417285797. The next prime is 4991417285927. The reversal of 4991417285904 is 4095827141994.

The square root of 4991417285904 is 2234148.

It is a perfect power (a square), and thus also a powerful number.

4991417285904 is a `hidden beast` number, since 4 + 9 + 9 + 1 + 4 + 17 + 28 + 590 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4496859536400 + 494557749504 = 2120580^2 + 703248^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 187655134 + ... + 187681730.

Almost surely, 2^{4991417285904} is an apocalyptic number.

4991417285904 is the 2234148-th square number.

It is an amenable number.

4991417285904 is an abundant number, since it is smaller than the sum of its proper divisors (11258888491893).

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

4991417285904 is an frugal number, since it uses more digits than its factorization.

4991417285904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53222 (or 26609 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 4991417285904 in words is "four trillion, nine hundred ninety-one billion, four hundred seventeen million, two hundred eighty-five thousand, nine hundred four".