408880400800 has 72 divisors (see below), whose sum is σ = 1008062440812. Its totient is φ = 161932800000.

The previous prime is 408880400689. The next prime is 408880400807. The reversal of 408880400800 is 8004088804.

It can be written as a sum of positive squares in 6 ways, for example, as 152484002064 + 256396398736 = 390492^2 + 506356^2 .

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 (408880400807) 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, 2449401 + ... + 2611000.

Almost surely, 2^408880400800 is an apocalyptic number.

408880400800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408880400800 is an abundant number, since it is smaller than the sum of its proper divisors (599182040012).

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

408880400800 is a wasteful number, since it uses less digits than its factorization.

408880400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060522 (or 5060509 counting only the distinct ones).

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

The spelling of 408880400800 in words is "four hundred eight billion, eight hundred eighty million, four hundred thousand, eight hundred".