443121121344 has 56 divisors (see below), whose sum is σ = 1279008697248. Its totient is φ = 134279127040.

The previous prime is 443121121309. The next prime is 443121121357.

It is a happy number.

443121121344 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104903457 + ... + 104907680.

Almost surely, 2^443121121344 is an apocalyptic number.

443121121344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

443121121344 is an abundant number, since it is smaller than the sum of its proper divisors (835887575904).

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

443121121344 is a wasteful number, since it uses less digits than its factorization.

443121121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209811163 (or 209811153 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 443121 and 121344, that added together give a palindrome (564465).

The spelling of 443121121344 in words is "four hundred forty-three billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred forty-four".