4431244421344 has 192 divisors, whose sum is σ = 9966734346240. Its totient is φ = 1923905617920.

The previous prime is 4431244421327. The next prime is 4431244421369.

4431244421344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4431244421297 and 4431244421306.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 194247699 + ... + 194270509.

It is an arithmetic number, because the mean of its divisors is an integer number (51910074720).

Almost surely, 2^{4431244421344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4431244421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983367173120).

4431244421344 is an abundant number, since it is smaller than the sum of its proper divisors (5535489924896).

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

4431244421344 is a wasteful number, since it uses less digits than its factorization.

4431244421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23193 (or 23185 counting only the distinct ones).

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

The spelling of 4431244421344 in words is "four trillion, four hundred thirty-one billion, two hundred forty-four million, four hundred twenty-one thousand, three hundred forty-four".