36441807413761 has 2 divisors, whose sum is σ = 36441807413762. Its totient is φ = 36441807413760.

The previous prime is 36441807413741. The next prime is 36441807413771. The reversal of 36441807413761 is 16731470814463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22523386466161 + 13918420947600 = 4745881^2 + 3730740^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36441807413761 is a prime.

It is not a weakly prime, because it can be changed into another prime (36441807413741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18220903706880 + 18220903706881.

It is an arithmetic number, because the mean of its divisors is an integer number (18220903706881).

Almost surely, 2^{36441807413761} is an apocalyptic number.

It is an amenable number.

36441807413761 is a deficient number, since it is larger than the sum of its proper divisors (1).

36441807413761 is an equidigital number, since it uses as much as digits as its factorization.

36441807413761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8128512, while the sum is 55.

The spelling of 36441807413761 in words is "thirty-six trillion, four hundred forty-one billion, eight hundred seven million, four hundred thirteen thousand, seven hundred sixty-one".