443324423344 has 160 divisors (see below), whose sum is σ = 991704384000. Its totient is φ = 190015457280.

The previous prime is 443324423303. The next prime is 443324423387.

443324423344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 443324423297 and 443324423306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134379807 + ... + 134383105.

It is an arithmetic number, because the mean of its divisors is an integer number (6198152400).

Almost surely, 2^443324423344 is an apocalyptic number.

443324423344 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 443324423344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495852192000).

443324423344 is an abundant number, since it is smaller than the sum of its proper divisors (548379960656).

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

443324423344 is a wasteful number, since it uses less digits than its factorization.

443324423344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3797 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 40.

It can be divided in two parts, 443324 and 423344, that added together give a palindrome (866668).

The spelling of 443324423344 in words is "four hundred forty-three billion, three hundred twenty-four million, four hundred twenty-three thousand, three hundred forty-four".