408730944000 has 320 divisors, whose sum is σ = 1371026891520. Its totient is φ = 108024627200.

The previous prime is 408730943977. The next prime is 408730944029. The reversal of 408730944000 is 449037804.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×408730944000² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 408730944000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21686581 + ... + 21705419.

It is an arithmetic number, because the mean of its divisors is an integer number (4284459036).

Almost surely, 2^408730944000 is an apocalyptic number.

408730944000 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 408730944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685513445760).

408730944000 is an abundant number, since it is smaller than the sum of its proper divisors (962295947520).

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

408730944000 is a wasteful number, since it uses less digits than its factorization.

408730944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18988 (or 18962 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 408730944000 in words is "four hundred eight billion, seven hundred thirty million, nine hundred forty-four thousand".