408408080800 has 72 divisors (see below), whose sum is σ = 997631170956. Its totient is φ = 163264112640.

The previous prime is 408408080797. The next prime is 408408080803. The reversal of 408408080800 is 8080804804.

It is an interprime number because it is at equal distance from previous prime (408408080797) and next prime (408408080803).

It can be written as a sum of positive squares in 6 ways, for example, as 119226565264 + 289181515536 = 345292^2 + 537756^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (408408080803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1171554 + ... + 1479646.

Almost surely, 2^408408080800 is an apocalyptic number.

408408080800 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 408408080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498815585478).

408408080800 is an abundant number, since it is smaller than the sum of its proper divisors (589223090156).

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

408408080800 is a wasteful number, since it uses less digits than its factorization.

408408080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309770 (or 309757 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 408408080800 in words is "four hundred eight billion, four hundred eight million, eighty thousand, eight hundred".