441331222133144 has 32 divisors (see below), whose sum is σ = 945820075324320. Its totient is φ = 189119889620736.

The previous prime is 441331222133083. The next prime is 441331222133159.

441331222133144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441331222133098 and 441331222133107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 459155669 + ... + 460115844.

It is an arithmetic number, because the mean of its divisors is an integer number (29556877353885).

Almost surely, 2^{441331222133144} is an apocalyptic number.

It is an amenable number.

441331222133144 is an abundant number, since it is smaller than the sum of its proper divisors (504488853191176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441331222133144 is a wasteful number, since it uses less digits than its factorization.

441331222133144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919280099 (or 919280095 counting only the distinct ones).

The product of its digits is 165888, while the sum is 38.

The spelling of 441331222133144 in words is "four hundred forty-one trillion, three hundred thirty-one billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred forty-four".