404688806496 has 144 divisors (see below), whose sum is σ = 1250731001520. Its totient is φ = 123377126400.

The previous prime is 404688806411. The next prime is 404688806503. The reversal of 404688806496 is 694608886404.

404688806496 is a `hidden beast` number, since 4 + 0 + 4 + 68 + 8 + 80 + 6 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87730 + ... + 903921.

It is an arithmetic number, because the mean of its divisors is an integer number (8685631955).

Almost surely, 2^404688806496 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 404688806496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625365500760).

404688806496 is an abundant number, since it is smaller than the sum of its proper divisors (846042195024).

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

404688806496 is a wasteful number, since it uses less digits than its factorization.

404688806496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991789 (or 991778 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 404688806496 in words is "four hundred four billion, six hundred eighty-eight million, eight hundred six thousand, four hundred ninety-six".