441613316144 has 240 divisors, whose sum is σ = 1176137534880. Its totient is φ = 157896990720.

The previous prime is 441613316143. The next prime is 441613316153.

441613316144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441613316098 and 441613316107.

It is not an unprimeable number, because it can be changed into a prime (441613316143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19383992 + ... + 19406760.

It is an arithmetic number, because the mean of its divisors is an integer number (4900573062).

Almost surely, 2^441613316144 is an apocalyptic number.

441613316144 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 441613316144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588068767440).

441613316144 is an abundant number, since it is smaller than the sum of its proper divisors (734524218736).

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

441613316144 is a wasteful number, since it uses less digits than its factorization.

441613316144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22988 (or 22975 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

It can be divided in two parts, 441613 and 316144, that added together give a palindrome (757757).

The spelling of 441613316144 in words is "four hundred forty-one billion, six hundred thirteen million, three hundred sixteen thousand, one hundred forty-four".