441135623833409 has 2 divisors, whose sum is σ = 441135623833410. Its totient is φ = 441135623833408.

The previous prime is 441135623833291. The next prime is 441135623833417. The reversal of 441135623833409 is 904338326531144.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 437397696543025 + 3737927290384 = 20914055^2 + 1933372^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-441135623833409 is a prime.

It is a super-2 number, since 2×441135623833409² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (441135623830409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 220567811916704 + 220567811916705.

It is an arithmetic number, because the mean of its divisors is an integer number (220567811916705).

Almost surely, 2^{441135623833409} is an apocalyptic number.

It is an amenable number.

441135623833409 is a deficient number, since it is larger than the sum of its proper divisors (1).

441135623833409 is an equidigital number, since it uses as much as digits as its factorization.

441135623833409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22394880, while the sum is 56.

The spelling of 441135623833409 in words is "four hundred forty-one trillion, one hundred thirty-five billion, six hundred twenty-three million, eight hundred thirty-three thousand, four hundred nine".