412431442320217 has 2 divisors, whose sum is σ = 412431442320218. Its totient is φ = 412431442320216.

The previous prime is 412431442320187. The next prime is 412431442320311. The reversal of 412431442320217 is 712023244134214.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 352758227495881 + 59673214824336 = 18781859^2 + 7724844^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-412431442320217 is a prime.

It is a super-2 number, since 2×412431442320217² (a number of 30 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 412431442320217.

It is not a weakly prime, because it can be changed into another prime (412431442329217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206215721160108 + 206215721160109.

It is an arithmetic number, because the mean of its divisors is an integer number (206215721160109).

Almost surely, 2^{412431442320217} is an apocalyptic number.

It is an amenable number.

412431442320217 is a deficient number, since it is larger than the sum of its proper divisors (1).

412431442320217 is an equidigital number, since it uses as much as digits as its factorization.

412431442320217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 412431442320217 in words is "four hundred twelve trillion, four hundred thirty-one billion, four hundred forty-two million, three hundred twenty thousand, two hundred seventeen".