441164431041101 has 2 divisors, whose sum is σ = 441164431041102. Its totient is φ = 441164431041100.

The previous prime is 441164431041013. The next prime is 441164431041133. The reversal of 441164431041101 is 101140134461144.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 236604355038601 + 204560076002500 = 15381949^2 + 14302450^2 .

It is a cyclic number.

It is not a de Polignac number, because 441164431041101 - 2³⁴ = 441147251171917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (441164431041601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 220582215520550 + 220582215520551.

It is an arithmetic number, because the mean of its divisors is an integer number (220582215520551).

Almost surely, 2^{441164431041101} is an apocalyptic number.

It is an amenable number.

441164431041101 is a deficient number, since it is larger than the sum of its proper divisors (1).

441164431041101 is an equidigital number, since it uses as much as digits as its factorization.

441164431041101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 441164431041101 in words is "four hundred forty-one trillion, one hundred sixty-four billion, four hundred thirty-one million, forty-one thousand, one hundred one".