408000921600 has 276 divisors, whose sum is σ = 1350163073864. Its totient is φ = 108716359680.

The previous prime is 408000921593. The next prime is 408000921617. The reversal of 408000921600 is 6129000804.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314572152 + ... + 314573448.

Almost surely, 2^408000921600 is an apocalyptic number.

408000921600 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 408000921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675081536932).

408000921600 is an abundant number, since it is smaller than the sum of its proper divisors (942162152264).

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

408000921600 is an frugal number, since it uses more digits than its factorization.

408000921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 408000921600 in words is "four hundred eight billion, nine hundred twenty-one thousand, six hundred".