408404840080 has 160 divisors (see below), whose sum is σ = 1026819993600. Its totient is φ = 150706483200.

The previous prime is 408404840027. The next prime is 408404840131. The reversal of 408404840080 is 80048404804.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5645740 + ... + 5717620.

It is an arithmetic number, because the mean of its divisors is an integer number (6417624960).

Almost surely, 2^408404840080 is an apocalyptic number.

408404840080 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 408404840080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513409996800).

408404840080 is an abundant number, since it is smaller than the sum of its proper divisors (618415153520).

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

408404840080 is a wasteful number, since it uses less digits than its factorization.

408404840080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72033 (or 72027 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 408404840080 in words is "four hundred eight billion, four hundred four million, eight hundred forty thousand, eighty".