404117761089 has 32 divisors (see below), whose sum is σ = 623049615360. Its totient is φ = 228208033152.

The previous prime is 404117761067. The next prime is 404117761123. The reversal of 404117761089 is 980167711404.

It is not a de Polignac number, because 404117761089 - 2⁵ = 404117761057 is a prime.

It is a super-2 number, since 2×404117761089² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (404117761039) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3507492 + ... + 3620874.

It is an arithmetic number, because the mean of its divisors is an integer number (19470300480).

Almost surely, 2^404117761089 is an apocalyptic number.

It is an amenable number.

404117761089 is a deficient number, since it is larger than the sum of its proper divisors (218931854271).

404117761089 is a wasteful number, since it uses less digits than its factorization.

404117761089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115389.

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 404117761089 in words is "four hundred four billion, one hundred seventeen million, seven hundred sixty-one thousand, eighty-nine".