416312353417 has 2 divisors, whose sum is σ = 416312353418. Its totient is φ = 416312353416.

The previous prime is 416312353357. The next prime is 416312353433. The reversal of 416312353417 is 714353213614.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 376871982201 + 39440371216 = 613899^2 + 198596^2 .

It is a cyclic number.

It is not a de Polignac number, because 416312353417 - 2³⁵ = 381952615049 is a prime.

It is a super-2 number, since 2×416312353417² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 416312353417.

It is not a weakly prime, because it can be changed into another prime (416312353487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208156176708 + 208156176709.

It is an arithmetic number, because the mean of its divisors is an integer number (208156176709).

Almost surely, 2^416312353417 is an apocalyptic number.

It is an amenable number.

416312353417 is a deficient number, since it is larger than the sum of its proper divisors (1).

416312353417 is an equidigital number, since it uses as much as digits as its factorization.

416312353417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 181440, while the sum is 40.

The spelling of 416312353417 in words is "four hundred sixteen billion, three hundred twelve million, three hundred fifty-three thousand, four hundred seventeen".