441805372142801 has 2 divisors, whose sum is σ = 441805372142802. Its totient is φ = 441805372142800.

The previous prime is 441805372142699. The next prime is 441805372142809. The reversal of 441805372142801 is 108241273508144.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 230704232480401 + 211101139662400 = 15188951^2 + 14529320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-441805372142801 is a prime.

It is a super-2 number, since 2×441805372142801² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 441805372142801.

It is not a weakly prime, because it can be changed into another prime (441805372142809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 220902686071400 + 220902686071401.

It is an arithmetic number, because the mean of its divisors is an integer number (220902686071401).

Almost surely, 2^{441805372142801} is an apocalyptic number.

It is an amenable number.

441805372142801 is a deficient number, since it is larger than the sum of its proper divisors (1).

441805372142801 is an equidigital number, since it uses as much as digits as its factorization.

441805372142801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1720320, while the sum is 50.

The spelling of 441805372142801 in words is "four hundred forty-one trillion, eight hundred five billion, three hundred seventy-two million, one hundred forty-two thousand, eight hundred one".