408880400801 has 16 divisors (see below), whose sum is σ = 413081102160. Its totient is φ = 404699182080.

The previous prime is 408880400689. The next prime is 408880400807. The reversal of 408880400801 is 108004088804.

It can be written as a sum of positive squares in 8 ways, for example, as 14496400801 + 394384000000 = 120401^2 + 628000^2 .

It is a cyclic number.

It is not a de Polignac number, because 408880400801 - 2³⁴ = 391700531617 is a prime.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 77716511 + ... + 77721771.

It is an arithmetic number, because the mean of its divisors is an integer number (25817568885).

Almost surely, 2^408880400801 is an apocalyptic number.

It is an amenable number.

408880400801 is a deficient number, since it is larger than the sum of its proper divisors (4200701359).

408880400801 is a wasteful number, since it uses less digits than its factorization.

408880400801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964.

The product of its (nonzero) digits is 65536, while the sum is 41.

The spelling of 408880400801 in words is "four hundred eight billion, eight hundred eighty million, four hundred thousand, eight hundred one".