41088400444601 has 2 divisors, whose sum is σ = 41088400444602. Its totient is φ = 41088400444600.

The previous prime is 41088400444579. The next prime is 41088400444627. The reversal of 41088400444601 is 10644400488014.

41088400444601 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., 40181146099600 + 907254345001 = 6338860^2 + 952499^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-41088400444601 is a prime.

It is not a weakly prime, because it can be changed into another prime (41088400444691) 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, 20544200222300 + 20544200222301.

It is an arithmetic number, because the mean of its divisors is an integer number (20544200222301).

Almost surely, 2^{41088400444601} is an apocalyptic number.

It is an amenable number.

41088400444601 is a deficient number, since it is larger than the sum of its proper divisors (1).

41088400444601 is an equidigital number, since it uses as much as digits as its factorization.

41088400444601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 393216, while the sum is 44.

The spelling of 41088400444601 in words is "forty-one trillion, eighty-eight billion, four hundred million, four hundred forty-four thousand, six hundred one".