41905824445361 has 2 divisors, whose sum is σ = 41905824445362. Its totient is φ = 41905824445360.

The previous prime is 41905824445349. The next prime is 41905824445363. The reversal of 41905824445361 is 16354442850914.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41905231230625 + 593214736 = 6473425^2 + 24356^2 .

It is a cyclic number.

It is not a de Polignac number, because 41905824445361 - 2¹⁸ = 41905824183217 is a prime.

Together with 41905824445363, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 41905824445297 and 41905824445306.

It is not a weakly prime, because it can be changed into another prime (41905824445363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20952912222680 + 20952912222681.

It is an arithmetic number, because the mean of its divisors is an integer number (20952912222681).

Almost surely, 2^{41905824445361} is an apocalyptic number.

It is an amenable number.

41905824445361 is a deficient number, since it is larger than the sum of its proper divisors (1).

41905824445361 is an equidigital number, since it uses as much as digits as its factorization.

41905824445361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16588800, while the sum is 56.

The spelling of 41905824445361 in words is "forty-one trillion, nine hundred five billion, eight hundred twenty-four million, four hundred forty-five thousand, three hundred sixty-one".