404163627370272 has 768 divisors, whose sum is σ = 1499155634995200. Its totient is φ = 102891992186880.

The previous prime is 404163627370241. The next prime is 404163627370403. The reversal of 404163627370272 is 272073726361404.

404163627370272 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 6 + 3 + 627 + 3 + 7 + 0 + 2 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 719751888 + ... + 720313200.

It is an arithmetic number, because the mean of its divisors is an integer number (1952025566400).

Almost surely, 2^{404163627370272} is an apocalyptic number.

404163627370272 is a gapful number since it is divisible by the number (42) 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 404163627370272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749577817497600).

404163627370272 is an abundant number, since it is smaller than the sum of its proper divisors (1094992007624928).

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

404163627370272 is a wasteful number, since it uses less digits than its factorization.

404163627370272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561566 (or 561552 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 404163627370272 in words is "four hundred four trillion, one hundred sixty-three billion, six hundred twenty-seven million, three hundred seventy thousand, two hundred seventy-two".