444234222432444 has 192 divisors, whose sum is σ = 1122792370380800. Its totient is φ = 136224973504512.

The previous prime is 444234222432437. The next prime is 444234222432493.

444234222432444 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 = 444234222432393 and 444234222432402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29589962682 + ... + 29589977694.

Almost surely, 2^{444234222432444} 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 444234222432444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561396185190400).

444234222432444 is an abundant number, since it is smaller than the sum of its proper divisors (678558147948356).

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

444234222432444 is a wasteful number, since it uses less digits than its factorization.

444234222432444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21732 (or 21730 counting only the distinct ones).

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

The spelling of 444234222432444 in words is "four hundred forty-four trillion, two hundred thirty-four billion, two hundred twenty-two million, four hundred thirty-two thousand, four hundred forty-four".