408840800880 has 80 divisors (see below), whose sum is σ = 1272225715200. Its totient is φ = 108609656064.

The previous prime is 408840800867. The next prime is 408840800887. The reversal of 408840800880 is 88008048804.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408840800887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3175480 + ... + 3301719.

It is an arithmetic number, because the mean of its divisors is an integer number (15902821440).

Almost surely, 2^408840800880 is an apocalyptic number.

408840800880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408840800880 is an abundant number, since it is smaller than the sum of its proper divisors (863384914320).

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

408840800880 is a wasteful number, since it uses less digits than its factorization.

408840800880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6477478 (or 6477472 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 408840800880 in words is "four hundred eight billion, eight hundred forty million, eight hundred thousand, eight hundred eighty".