404416772061317 has 2 divisors, whose sum is σ = 404416772061318. Its totient is φ = 404416772061316.

The previous prime is 404416772061293. The next prime is 404416772061359. The reversal of 404416772061317 is 713160277614404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 388617784718881 + 15798987342436 = 19713391^2 + 3974794^2 .

It is a cyclic number.

It is not a de Polignac number, because 404416772061317 - 2⁴⁶ = 334048027883653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404416772061377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202208386030658 + 202208386030659.

It is an arithmetic number, because the mean of its divisors is an integer number (202208386030659).

Almost surely, 2^{404416772061317} is an apocalyptic number.

It is an amenable number.

404416772061317 is a deficient number, since it is larger than the sum of its proper divisors (1).

404416772061317 is an equidigital number, since it uses as much as digits as its factorization.

404416772061317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4741632, while the sum is 53.

The spelling of 404416772061317 in words is "four hundred four trillion, four hundred sixteen billion, seven hundred seventy-two million, sixty-one thousand, three hundred seventeen".