408889728000 has 1408 divisors, whose sum is σ = 1716728832000. Its totient is φ = 95153356800.

The previous prime is 408889727977. The next prime is 408889728017. The reversal of 408889728000 is 827988804.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 853631761 + ... + 853632239.

Almost surely, 2^408889728000 is an apocalyptic number.

408889728000 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 408889728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858364416000).

408889728000 is an abundant number, since it is smaller than the sum of its proper divisors (1307839104000).

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

408889728000 is a wasteful number, since it uses less digits than its factorization.

408889728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 408889728000 in words is "four hundred eight billion, eight hundred eighty-nine million, seven hundred twenty-eight thousand".