41413455431417 has 2 divisors, whose sum is σ = 41413455431418. Its totient is φ = 41413455431416.

The previous prime is 41413455431393. The next prime is 41413455431419. The reversal of 41413455431417 is 71413455431414.

41413455431417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27789302661136 + 13624152770281 = 5271556^2 + 3691091^2 .

It is a cyclic number.

It is not a de Polignac number, because 41413455431417 - 2¹⁶ = 41413455365881 is a prime.

Together with 41413455431419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (41413455431419) 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, 20706727715708 + 20706727715709.

It is an arithmetic number, because the mean of its divisors is an integer number (20706727715709).

Almost surely, 2^{41413455431417} is an apocalyptic number.

It is an amenable number.

41413455431417 is a deficient number, since it is larger than the sum of its proper divisors (1).

41413455431417 is an equidigital number, since it uses as much as digits as its factorization.

41413455431417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1612800, while the sum is 47.

The spelling of 41413455431417 in words is "forty-one trillion, four hundred thirteen billion, four hundred fifty-five million, four hundred thirty-one thousand, four hundred seventeen".