4538604913920 has 972 divisors, whose sum is σ = 20078764442100. Its totient is φ = 943072542720.

The previous prime is 4538604913919. The next prime is 4538604913933. The reversal of 4538604913920 is 293194068354.

4538604913920 is a `hidden beast` number, since 4 + 5 + 3 + 8 + 60 + 491 + 3 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3333633278976 + 1204971634944 = 1825824^2 + 1097712^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 68268856 + ... + 68335304.

Almost surely, 2^{4538604913920} is an apocalyptic number.

4538604913920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4538604913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10039382221050).

4538604913920 is an abundant number, since it is smaller than the sum of its proper divisors (15540159528180).

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

4538604913920 is a wasteful number, since it uses less digits than its factorization.

4538604913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66512 (or 66477 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 4538604913920 in words is "four trillion, five hundred thirty-eight billion, six hundred four million, nine hundred thirteen thousand, nine hundred twenty".