414011110517 has 2 divisors, whose sum is σ = 414011110518. Its totient is φ = 414011110516.

The previous prime is 414011110411. The next prime is 414011110519. The reversal of 414011110517 is 715011110414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 361334434321 + 52676676196 = 601111^2 + 229514^2 .

It is a cyclic number.

It is not a de Polignac number, because 414011110517 - 2²⁴ = 413994333301 is a prime.

Together with 414011110519, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414011110519) 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, 207005555258 + 207005555259.

It is an arithmetic number, because the mean of its divisors is an integer number (207005555259).

Almost surely, 2^414011110517 is an apocalyptic number.

It is an amenable number.

414011110517 is a deficient number, since it is larger than the sum of its proper divisors (1).

414011110517 is an equidigital number, since it uses as much as digits as its factorization.

414011110517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 26.

The spelling of 414011110517 in words is "four hundred fourteen billion, eleven million, one hundred ten thousand, five hundred seventeen".