411957052417 has 2 divisors, whose sum is σ = 411957052418. Its totient is φ = 411957052416.

The previous prime is 411957052357. The next prime is 411957052499. The reversal of 411957052417 is 714250759114.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 367285693681 + 44671358736 = 606041^2 + 211356^2 .

It is a cyclic number.

It is not a de Polignac number, because 411957052417 - 2⁷ = 411957052289 is a prime.

It is a super-2 number, since 2×411957052417² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (411957052217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 205978526208 + 205978526209.

It is an arithmetic number, because the mean of its divisors is an integer number (205978526209).

Almost surely, 2^411957052417 is an apocalyptic number.

It is an amenable number.

411957052417 is a deficient number, since it is larger than the sum of its proper divisors (1).

411957052417 is an equidigital number, since it uses as much as digits as its factorization.

411957052417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 352800, while the sum is 46.

The spelling of 411957052417 in words is "four hundred eleven billion, nine hundred fifty-seven million, fifty-two thousand, four hundred seventeen".