4801372972416 has 144 divisors (see below), whose sum is σ = 14347126390740. Its totient is φ = 1600457377536.

The previous prime is 4801372972411. The next prime is 4801372972463. The reversal of 4801372972416 is 6142792731084.

4801372972416 is a `hidden beast` number, since 4 + 8 + 0 + 137 + 2 + 97 + 2 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4801372972411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2018806 + ... + 3698421.

Almost surely, 2^{4801372972416} is an apocalyptic number.

It is an amenable number.

4801372972416 is an abundant number, since it is smaller than the sum of its proper divisors (9545753418324).

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

4801372972416 is an frugal number, since it uses more digits than its factorization.

4801372972416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5717265 (or 5717232 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 4801372972416 in words is "four trillion, eight hundred one billion, three hundred seventy-two million, nine hundred seventy-two thousand, four hundred sixteen".