443141141344 has 96 divisors (see below), whose sum is σ = 964424240640. Its totient is φ = 198747993600.

The previous prime is 443141141329. The next prime is 443141141357.

443141141344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×443141141344² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 51746407 + ... + 51754969.

It is an arithmetic number, because the mean of its divisors is an integer number (10046085840).

Almost surely, 2^443141141344 is an apocalyptic number.

443141141344 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 443141141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482212120320).

443141141344 is an abundant number, since it is smaller than the sum of its proper divisors (521283099296).

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

443141141344 is a wasteful number, since it uses less digits than its factorization.

443141141344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10524 (or 10516 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 443141 and 141344, that added together give a palindrome (584485).

The spelling of 443141141344 in words is "four hundred forty-three billion, one hundred forty-one million, one hundred forty-one thousand, three hundred forty-four".