404441331441 has 32 divisors (see below), whose sum is σ = 620457615360. Its totient is φ = 229550075904.

The previous prime is 404441331409. The next prime is 404441331449. The reversal of 404441331441 is 144133144404.

It is not a de Polignac number, because 404441331441 - 2⁵ = 404441331409 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (404441331449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3181681 + ... + 3306353.

It is an arithmetic number, because the mean of its divisors is an integer number (19389300480).

Almost surely, 2^404441331441 is an apocalyptic number.

It is an amenable number.

404441331441 is a deficient number, since it is larger than the sum of its proper divisors (216016283919).

404441331441 is a wasteful number, since it uses less digits than its factorization.

404441331441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125725.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 404441331441 its reverse (144133144404), we get a palindrome (548574475845).

The spelling of 404441331441 in words is "four hundred four billion, four hundred forty-one million, three hundred thirty-one thousand, four hundred forty-one".