404671304167 has 32 divisors (see below), whose sum is σ = 479432862720. Its totient is φ = 337965281280.

The previous prime is 404671304153. The next prime is 404671304221. The reversal of 404671304167 is 761403176404.

It is a cyclic number.

It is not a de Polignac number, because 404671304167 - 2²⁷ = 404537086439 is a prime.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404671307167) 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, 3585958 + ... + 3697084.

It is an arithmetic number, because the mean of its divisors is an integer number (14982276960).

Almost surely, 2^404671304167 is an apocalyptic number.

404671304167 is a deficient number, since it is larger than the sum of its proper divisors (74761558553).

404671304167 is a wasteful number, since it uses less digits than its factorization.

404671304167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111823.

The product of its (nonzero) digits is 338688, while the sum is 43.

The spelling of 404671304167 in words is "four hundred four billion, six hundred seventy-one million, three hundred four thousand, one hundred sixty-seven".