417640991717 has 2 divisors, whose sum is σ = 417640991718. Its totient is φ = 417640991716.

The previous prime is 417640991711. The next prime is 417640991759. The reversal of 417640991717 is 717199046714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 405984334561 + 11656657156 = 637169^2 + 107966^2 .

It is a cyclic number.

It is not a de Polignac number, because 417640991717 - 2¹⁰ = 417640990693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (417640991711) 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, 208820495858 + 208820495859.

It is an arithmetic number, because the mean of its divisors is an integer number (208820495859).

Almost surely, 2^417640991717 is an apocalyptic number.

It is an amenable number.

417640991717 is a deficient number, since it is larger than the sum of its proper divisors (1).

417640991717 is an equidigital number, since it uses as much as digits as its factorization.

417640991717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2667168, while the sum is 56.

The spelling of 417640991717 in words is "four hundred seventeen billion, six hundred forty million, nine hundred ninety-one thousand, seven hundred seventeen".