408339090432 has 704 divisors, whose sum is σ = 1576089123840. Its totient is φ = 101348278272.

The previous prime is 408339090409. The next prime is 408339090433. The reversal of 408339090432 is 234090933804.

408339090432 is a `hidden beast` number, since 40 + 8 + 3 + 3 + 90 + 90 + 432 = 666.

It is not an unprimeable number, because it can be changed into a prime (408339090433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42766683 + ... + 42776229.

It is an arithmetic number, because the mean of its divisors is an integer number (2238762960).

Almost surely, 2^408339090432 is an apocalyptic number.

408339090432 is a gapful number since it is divisible by the number (42) 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 408339090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788044561920).

408339090432 is an abundant number, since it is smaller than the sum of its proper divisors (1167750033408).

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

408339090432 is a wasteful number, since it uses less digits than its factorization.

408339090432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9613 (or 9589 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 408339090432 in words is "four hundred eight billion, three hundred thirty-nine million, ninety thousand, four hundred thirty-two".