402908404404 has 144 divisors (see below), whose sum is σ = 1041767371008. Its totient is φ = 121103136000.

The previous prime is 402908404397. The next prime is 402908404487. The reversal of 402908404404 is 404404809204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113270194 + ... + 113273750.

It is an arithmetic number, because the mean of its divisors is an integer number (7234495632).

Almost surely, 2^402908404404 is an apocalyptic number.

402908404404 is a gapful number since it is divisible by the number (44) 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 402908404404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520883685504).

402908404404 is an abundant number, since it is smaller than the sum of its proper divisors (638858966604).

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

402908404404 is a wasteful number, since it uses less digits than its factorization.

402908404404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 402908404404 in words is "four hundred two billion, nine hundred eight million, four hundred four thousand, four hundred four".