441344443144 has 64 divisors (see below), whose sum is σ = 956500565760. Its totient is φ = 188682531840.

The previous prime is 441344443139. The next prime is 441344443193.

441344443144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441344443097 and 441344443106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2125354 + ... + 2323750.

It is an arithmetic number, because the mean of its divisors is an integer number (14945321340).

Almost surely, 2^441344443144 is an apocalyptic number.

441344443144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441344443144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478250282880).

441344443144 is an abundant number, since it is smaller than the sum of its proper divisors (515156122616).

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

441344443144 is a wasteful number, since it uses less digits than its factorization.

441344443144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199918 (or 199914 counting only the distinct ones).

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

It can be divided in two parts, 441344 and 443144, that added together give a palindrome (884488).

The spelling of 441344443144 in words is "four hundred forty-one billion, three hundred forty-four million, four hundred forty-three thousand, one hundred forty-four".