404687416321 has 8 divisors (see below), whose sum is σ = 405878270120. Its totient is φ = 403498257408.

The previous prime is 404687416313. The next prime is 404687416333. The reversal of 404687416321 is 123614786404.

It can be written as a sum of positive squares in 4 ways, for example, as 196568976321 + 208118440000 = 443361^2 + 456200^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 404687416321 - 2³ = 404687416313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404687416381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55315 + ... + 901351.

It is an arithmetic number, because the mean of its divisors is an integer number (50734783765).

Almost surely, 2^404687416321 is an apocalyptic number.

It is an amenable number.

404687416321 is a deficient number, since it is larger than the sum of its proper divisors (1190853799).

404687416321 is an equidigital number, since it uses as much as digits as its factorization.

404687416321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847443.

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 404687416321 in words is "four hundred four billion, six hundred eighty-seven million, four hundred sixteen thousand, three hundred twenty-one".