441343343144 has 64 divisors (see below), whose sum is σ = 925064340480. Its totient is φ = 195654528000.

The previous prime is 441343343143. The next prime is 441343343201.

441343343144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441343343098 and 441343343107.

It is not an unprimeable number, because it can be changed into a prime (441343343143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12216692 + ... + 12252764.

It is an arithmetic number, because the mean of its divisors is an integer number (14454130320).

Almost surely, 2^441343343144 is an apocalyptic number.

441343343144 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 441343343144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462532170240).

441343343144 is an abundant number, since it is smaller than the sum of its proper divisors (483720997336).

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

441343343144 is a wasteful number, since it uses less digits than its factorization.

441343343144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39522 (or 39518 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 441343 and 343144, that added together give a palindrome (784487).

The spelling of 441343343144 in words is "four hundred forty-one billion, three hundred forty-three million, three hundred forty-three thousand, one hundred forty-four".