4444432344444 has 96 divisors (see below), whose sum is σ = 11048440144896. Its totient is φ = 1385690444800.

The previous prime is 4444432344397. The next prime is 4444432344509.

4444432344444 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 4444432344393 and 4444432344402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207838177 + ... + 207859559.

It is an arithmetic number, because the mean of its divisors is an integer number (115087918176).

Almost surely, 2^{4444432344444} 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 4444432344444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524220072448).

4444432344444 is an abundant number, since it is smaller than the sum of its proper divisors (6604007800452).

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

4444432344444 is a wasteful number, since it uses less digits than its factorization.

4444432344444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27675 (or 27673 counting only the distinct ones).

The product of its digits is 18874368, while the sum is 48.

The spelling of 4444432344444 in words is "four trillion, four hundred forty-four billion, four hundred thirty-two million, three hundred forty-four thousand, four hundred forty-four".