408336908880 has 160 divisors (see below), whose sum is σ = 1270182453120. Its totient is φ = 108517294080.

The previous prime is 408336908797. The next prime is 408336908893. The reversal of 408336908880 is 88809633804.

It is a self number, because there is not a number n which added to its sum of digits gives 408336908880.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 130833720 + ... + 130836840.

It is an arithmetic number, because the mean of its divisors is an integer number (7938640332).

Almost surely, 2^408336908880 is an apocalyptic number.

408336908880 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 408336908880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635091226560).

408336908880 is an abundant number, since it is smaller than the sum of its proper divisors (861845544240).

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

408336908880 is a wasteful number, since it uses less digits than its factorization.

408336908880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 408336908880 in words is "four hundred eight billion, three hundred thirty-six million, nine hundred eight thousand, eight hundred eighty".