408320160000 has 720 divisors, whose sum is σ = 1416575100864. Its totient is φ = 104288256000.

The previous prime is 408320159971. The next prime is 408320160067. The reversal of 408320160000 is 61023804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1474079862 + ... + 1474080138.

Almost surely, 2^408320160000 is an apocalyptic number.

408320160000 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 408320160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708287550432).

408320160000 is an abundant number, since it is smaller than the sum of its proper divisors (1008254940864).

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

408320160000 is an equidigital number, since it uses as much as digits as its factorization.

408320160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 408320160000 its reverse (61023804), we get a palindrome (408381183804).

The spelling of 408320160000 in words is "four hundred eight billion, three hundred twenty million, one hundred sixty thousand".