444364643736 has 320 divisors, whose sum is σ = 1374867204480. Its totient is φ = 133234606080.

The previous prime is 444364643719. The next prime is 444364643741. The reversal of 444364643736 is 637346463444.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 95416320 + ... + 95420976.

It is an arithmetic number, because the mean of its divisors is an integer number (4296460014).

Almost surely, 2^444364643736 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 444364643736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687433602240).

444364643736 is an abundant number, since it is smaller than the sum of its proper divisors (930502560744).

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

444364643736 is a wasteful number, since it uses less digits than its factorization.

444364643736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4963 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 54.

The spelling of 444364643736 in words is "four hundred forty-four billion, three hundred sixty-four million, six hundred forty-three thousand, seven hundred thirty-six".