4931007981120 has 168 divisors, whose sum is σ = 18265275535416. Its totient is φ = 1213786570752.

The previous prime is 4931007981113. The next prime is 4931007981121. The reversal of 4931007981120 is 211897001394.

4931007981120 is a `hidden beast` number, since 493 + 1 + 0 + 0 + 79 + 81 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 125758181376 + 4805249799744 = 354624^2 + 2192088^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4931007981121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65814697 + ... + 65889576.

It is an arithmetic number, because the mean of its divisors is an integer number (108721878187).

Almost surely, 2^{4931007981120} is an apocalyptic number.

4931007981120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4931007981120 is an abundant number, since it is smaller than the sum of its proper divisors (13334267554296).

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

4931007981120 is a wasteful number, since it uses less digits than its factorization.

4931007981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131704309 (or 131704296 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 4931007981120 in words is "four trillion, nine hundred thirty-one billion, seven million, nine hundred eighty-one thousand, one hundred twenty".