417306193921 has 2 divisors, whose sum is σ = 417306193922. Its totient is φ = 417306193920.

The previous prime is 417306193867. The next prime is 417306193933. The reversal of 417306193921 is 129391603714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 344376490896 + 72929703025 = 586836^2 + 270055^2 .

It is a cyclic number.

It is not a de Polignac number, because 417306193921 - 2¹¹ = 417306191873 is a prime.

It is not a weakly prime, because it can be changed into another prime (417306193951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208653096960 + 208653096961.

It is an arithmetic number, because the mean of its divisors is an integer number (208653096961).

Almost surely, 2^417306193921 is an apocalyptic number.

It is an amenable number.

417306193921 is a deficient number, since it is larger than the sum of its proper divisors (1).

417306193921 is an equidigital number, since it uses as much as digits as its factorization.

417306193921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 244944, while the sum is 46.

The spelling of 417306193921 in words is "four hundred seventeen billion, three hundred six million, one hundred ninety-three thousand, nine hundred twenty-one".