444034441122112 has 56 divisors (see below), whose sum is σ = 892481984156160. Its totient is φ = 219158335418880.

The previous prime is 444034441122109. The next prime is 444034441122119. The reversal of 444034441122112 is 211221144430444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444034441122119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13116537 + ... + 32559367.

Almost surely, 2^{444034441122112} 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 444034441122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446240992078080).

444034441122112 is an abundant number, since it is smaller than the sum of its proper divisors (448447543034048).

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

444034441122112 is a wasteful number, since it uses less digits than its factorization.

444034441122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19447439 (or 19447429 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

Adding to 444034441122112 its reverse (211221144430444), we get a palindrome (655255585552556).

The spelling of 444034441122112 in words is "four hundred forty-four trillion, thirty-four billion, four hundred forty-one million, one hundred twenty-two thousand, one hundred twelve".