404126687168 has 56 divisors (see below), whose sum is σ = 817417364400. Its totient is φ = 198193858560.

The previous prime is 404126687131. The next prime is 404126687177. The reversal of 404126687168 is 861786621404.

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 7 ways as a sum of consecutive naturals, for example, 606683 + ... + 1084581.

It is an arithmetic number, because the mean of its divisors is an integer number (14596738650).

Almost surely, 2^404126687168 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 404126687168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408708682200).

404126687168 is an abundant number, since it is smaller than the sum of its proper divisors (413290677232).

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

404126687168 is a wasteful number, since it uses less digits than its factorization.

404126687168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478165 (or 478155 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 404126687168 in words is "four hundred four billion, one hundred twenty-six million, six hundred eighty-seven thousand, one hundred sixty-eight".