4936461886080 has 96 divisors (see below), whose sum is σ = 17046219970260. Its totient is φ = 1316389834752.

The previous prime is 4936461886051. The next prime is 4936461886123. The reversal of 4936461886080 is 806881646394.

4936461886080 is a `hidden beast` number, since 4 + 9 + 3 + 6 + 4 + 6 + 18 + 8 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4644576696384 + 291885189696 = 2155128^2 + 540264^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4936461885999 and 4936461886017.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428506557 + ... + 428518076.

Almost surely, 2^{4936461886080} is an apocalyptic number.

4936461886080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4936461886080 is an abundant number, since it is smaller than the sum of its proper divisors (12109758084180).

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

4936461886080 is a wasteful number, since it uses less digits than its factorization.

4936461886080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857024658 (or 857024643 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 4936461886080 in words is "four trillion, nine hundred thirty-six billion, four hundred sixty-one million, eight hundred eighty-six thousand, eighty".