404838480117 has 32 divisors (see below), whose sum is σ = 557546457600. Its totient is φ = 261159155712.

The previous prime is 404838480103. The next prime is 404838480157. The reversal of 404838480117 is 711084838404.

It is not a de Polignac number, because 404838480117 - 2¹¹ = 404838478069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404838480157) 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, 11651823 + ... + 11686515.

It is an arithmetic number, because the mean of its divisors is an integer number (17423326800).

Almost surely, 2^404838480117 is an apocalyptic number.

It is an amenable number.

404838480117 is a deficient number, since it is larger than the sum of its proper divisors (152707977483).

404838480117 is a wasteful number, since it uses less digits than its factorization.

404838480117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35757.

The product of its (nonzero) digits is 688128, while the sum is 48.

It can be divided in two parts, 4048384 and 80117, that added together give a triangular number (4128501 = T₂₈₇₃).

The spelling of 404838480117 in words is "four hundred four billion, eight hundred thirty-eight million, four hundred eighty thousand, one hundred seventeen".