443221242122344 has 64 divisors (see below), whose sum is σ = 991265531443200. Its totient is φ = 181654345904064.

The previous prime is 443221242122339. The next prime is 443221242122431.

443221242122344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 443221242122297 and 443221242122306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30745822 + ... + 42798925.

It is an arithmetic number, because the mean of its divisors is an integer number (15488523928800).

Almost surely, 2^{443221242122344} is an apocalyptic number.

It is an amenable number.

443221242122344 is an abundant number, since it is smaller than the sum of its proper divisors (548044289320856).

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

443221242122344 is a wasteful number, since it uses less digits than its factorization.

443221242122344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73549462 (or 73549458 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

The spelling of 443221242122344 in words is "four hundred forty-three trillion, two hundred twenty-one billion, two hundred forty-two million, one hundred twenty-two thousand, three hundred forty-four".