444312341231444 has 192 divisors, whose sum is σ = 964689120009216. Its totient is φ = 174969178914816.

The previous prime is 444312341231443. The next prime is 444312341231453. The reversal of 444312341231444 is 444132143213444.

It is a junction number, because it is equal to n+sod(n) for n = 444312341231395 and 444312341231404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444312341231443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340703324 + ... + 342004940.

It is an arithmetic number, because the mean of its divisors is an integer number (5024422500048).

Almost surely, 2^{444312341231444} 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 444312341231444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482344560004608).

444312341231444 is an abundant number, since it is smaller than the sum of its proper divisors (520376778777772).

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

444312341231444 is a wasteful number, since it uses less digits than its factorization.

444312341231444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301914 (or 1301912 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 44.

Adding to 444312341231444 its reverse (444132143213444), we get a palindrome (888444484444888).

The spelling of 444312341231444 in words is "four hundred forty-four trillion, three hundred twelve billion, three hundred forty-one million, two hundred thirty-one thousand, four hundred forty-four".