408181534272 has 84 divisors (see below), whose sum is σ = 1170648979500. Its totient is φ = 135982559232.

The previous prime is 408181534261. The next prime is 408181534273. The reversal of 408181534272 is 272435181804.

408181534272 is a `hidden beast` number, since 40 + 8 + 1 + 8 + 1 + 534 + 2 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 218036699136 + 190144835136 = 466944^2 + 436056^2 .

It is a super-2 number, since 2×408181534272² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (408181534273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 807604 + ... + 1211852.

It is an arithmetic number, because the mean of its divisors is an integer number (13936297375).

Almost surely, 2^408181534272 is an apocalyptic number.

It is an amenable number.

408181534272 is an abundant number, since it is smaller than the sum of its proper divisors (762467445228).

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

408181534272 is a wasteful number, since it uses less digits than its factorization.

408181534272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406020 (or 406007 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 408181534272 in words is "four hundred eight billion, one hundred eighty-one million, five hundred thirty-four thousand, two hundred seventy-two".