444413114112 has 216 divisors, whose sum is σ = 1303985596032. Its totient is φ = 133258444800.

The previous prime is 444413114111. The next prime is 444413114129. The reversal of 444413114112 is 211411314444.

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

It is a self number, because there is not a number n which added to its sum of digits gives 444413114112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444413114111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79484437 + ... + 79490027.

It is an arithmetic number, because the mean of its divisors is an integer number (6036970352).

Almost surely, 2^444413114112 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 444413114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651992798016).

444413114112 is an abundant number, since it is smaller than the sum of its proper divisors (859572481920).

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

444413114112 is an equidigital number, since it uses as much as digits as its factorization.

444413114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5815 (or 5704 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

Adding to 444413114112 its reverse (211411314444), we get a palindrome (655824428556).

The spelling of 444413114112 in words is "four hundred forty-four billion, four hundred thirteen million, one hundred fourteen thousand, one hundred twelve".