41646126331961 has 2 divisors, whose sum is σ = 41646126331962. Its totient is φ = 41646126331960.

The previous prime is 41646126331949. The next prime is 41646126331981. The reversal of 41646126331961 is 16913362164614.

41646126331961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41422340568361 + 223785763600 = 6436019^2 + 473060^2 .

It is a cyclic number.

It is not a de Polignac number, because 41646126331961 - 2¹⁰ = 41646126330937 is a prime.

It is not a weakly prime, because it can be changed into another prime (41646126331921) 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, 20823063165980 + 20823063165981.

It is an arithmetic number, because the mean of its divisors is an integer number (20823063165981).

Almost surely, 2^{41646126331961} is an apocalyptic number.

It is an amenable number.

41646126331961 is a deficient number, since it is larger than the sum of its proper divisors (1).

41646126331961 is an equidigital number, since it uses as much as digits as its factorization.

41646126331961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3359232, while the sum is 53.

The spelling of 41646126331961 in words is "forty-one trillion, six hundred forty-six billion, one hundred twenty-six million, three hundred thirty-one thousand, nine hundred sixty-one".