404444310012241 has 2 divisors, whose sum is σ = 404444310012242. Its totient is φ = 404444310012240.

The previous prime is 404444310012233. The next prime is 404444310012269. The reversal of 404444310012241 is 142210013444404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 337058205131025 + 67386104881216 = 18359145^2 + 8208904^2 .

It is a cyclic number.

It is not a de Polignac number, because 404444310012241 - 2³ = 404444310012233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404444310012197 and 404444310012206.

It is not a weakly prime, because it can be changed into another prime (404444310012221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202222155006120 + 202222155006121.

It is an arithmetic number, because the mean of its divisors is an integer number (202222155006121).

Almost surely, 2^{404444310012241} is an apocalyptic number.

It is an amenable number.

404444310012241 is a deficient number, since it is larger than the sum of its proper divisors (1).

404444310012241 is an equidigital number, since it uses as much as digits as its factorization.

404444310012241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 404444310012241 its reverse (142210013444404), we get a palindrome (546654323456645).

The spelling of 404444310012241 in words is "four hundred four trillion, four hundred forty-four billion, three hundred ten million, twelve thousand, two hundred forty-one".