443122221344 has 96 divisors (see below), whose sum is σ = 1007394796800. Its totient is φ = 189751645440.

The previous prime is 443122221277. The next prime is 443122221359.

It is a happy number.

443122221344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 443122221344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012079 + ... + 1382225.

It is an arithmetic number, because the mean of its divisors is an integer number (10493695800).

Almost surely, 2^443122221344 is an apocalyptic number.

443122221344 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 443122221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503697398400).

443122221344 is an abundant number, since it is smaller than the sum of its proper divisors (564272575456).

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

443122221344 is a wasteful number, since it uses less digits than its factorization.

443122221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370366 (or 370358 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 443122 and 221344, that added together give a palindrome (664466).

The spelling of 443122221344 in words is "four hundred forty-three billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred forty-four".