444114021312 has 560 divisors, whose sum is σ = 1494964703232. Its totient is φ = 129400104960.

The previous prime is 444114021293. The next prime is 444114021353. The reversal of 444114021312 is 213120411444.

444114021312 is a `hidden beast` number, since 4 + 441 + 1 + 4 + 0 + 213 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98187883 + ... + 98192405.

Almost surely, 2^444114021312 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 444114021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747482351616).

444114021312 is an abundant number, since it is smaller than the sum of its proper divisors (1050850681920).

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

444114021312 is a wasteful number, since it uses less digits than its factorization.

444114021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4638 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 444114021312 its reverse (213120411444), we get a palindrome (657234432756).

The spelling of 444114021312 in words is "four hundred forty-four billion, one hundred fourteen million, twenty-one thousand, three hundred twelve".