404636705804016 has 480 divisors, whose sum is σ = 1360443768168960. Its totient is φ = 114812212838400.

The previous prime is 404636705804011. The next prime is 404636705804017. The reversal of 404636705804016 is 610408507636404.

404636705804016 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 3 + 6 + 7 + 0 + 580 + 40 + 16 = 666.

It is a super-2 number, since 2×404636705804016² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404636705804011) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1800585901 + ... + 1800810611.

It is an arithmetic number, because the mean of its divisors is an integer number (2834257850352).

Almost surely, 2^{404636705804016} 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 404636705804016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680221884084480).

404636705804016 is an abundant number, since it is smaller than the sum of its proper divisors (955807062364944).

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

404636705804016 is a wasteful number, since it uses less digits than its factorization.

404636705804016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225330 (or 225311 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 404636705804016 in words is "four hundred four trillion, six hundred thirty-six billion, seven hundred five million, eight hundred four thousand, sixteen".