408878668800 has 1320 divisors, whose sum is σ = 1833208765344. Its totient is φ = 87907368960.

The previous prime is 408878668771. The next prime is 408878668813. The reversal of 408878668800 is 8866878804.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 246757572 + ... + 246759228.

Almost surely, 2^408878668800 is an apocalyptic number.

408878668800 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 408878668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916604382672).

408878668800 is an abundant number, since it is smaller than the sum of its proper divisors (1424330096544).

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

408878668800 is a wasteful number, since it uses less digits than its factorization.

408878668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 408878668800 in words is "four hundred eight billion, eight hundred seventy-eight million, six hundred sixty-eight thousand, eight hundred".