441443344144 has 40 divisors (see below), whose sum is σ = 933091653312. Its totient is φ = 200647259520.

The previous prime is 441443344087. The next prime is 441443344193.

441443344144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441443344097 and 441443344106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5630557 + ... + 5708419.

Almost surely, 2^441443344144 is an apocalyptic number.

441443344144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441443344144 is an abundant number, since it is smaller than the sum of its proper divisors (491648309168).

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

441443344144 is a wasteful number, since it uses less digits than its factorization.

441443344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110095 (or 110089 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 441443 and 344144, that added together give a palindrome (785587).

The spelling of 441443344144 in words is "four hundred forty-one billion, four hundred forty-three million, three hundred forty-four thousand, one hundred forty-four".