404202404256 has 96 divisors (see below), whose sum is σ = 1214295183360. Its totient is φ = 115325642496.

The previous prime is 404202404237. The next prime is 404202404297. The reversal of 404202404256 is 652404202404.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64885 + ... + 901451.

It is an arithmetic number, because the mean of its divisors is an integer number (12648908160).

Almost surely, 2^404202404256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404202404256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607147591680).

404202404256 is an abundant number, since it is smaller than the sum of its proper divisors (810092779104).

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

404202404256 is a wasteful number, since it uses less digits than its factorization.

404202404256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837306 (or 837298 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The spelling of 404202404256 in words is "four hundred four billion, two hundred two million, four hundred four thousand, two hundred fifty-six".