444644868096000 has 5184 divisors, whose sum is σ = 1995613440807168. Its totient is φ = 98099527680000.

The previous prime is 444644868095969. The next prime is 444644868096059. The reversal of 444644868096000 is 690868446444.

It is a happy number.

444644868096000 is a `hidden beast` number, since 4 + 4 + 4 + 64 + 486 + 8 + 0 + 96 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6262603775965 + ... + 6262603776035.

It is an arithmetic number, because the mean of its divisors is an integer number (384956296452).

Almost surely, 2^{444644868096000} is an apocalyptic number.

444644868096000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444644868096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997806720403584).

444644868096000 is an abundant number, since it is smaller than the sum of its proper divisors (1550968572711168).

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

444644868096000 is an frugal number, since it uses more digits than its factorization.

444644868096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 444644868096000 in words is "four hundred forty-four trillion, six hundred forty-four billion, eight hundred sixty-eight million, ninety-six thousand".