444129097728 has 192 divisors, whose sum is σ = 1224961920000. Its totient is φ = 142949744640.

The previous prime is 444129097721. The next prime is 444129097777. The reversal of 444129097728 is 827790921444.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444129097721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95039200 + ... + 95043872.

It is an arithmetic number, because the mean of its divisors is an integer number (6380010000).

Almost surely, 2^444129097728 is an apocalyptic number.

444129097728 is a gapful number since it is divisible by the number (48) 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 444129097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612480960000).

444129097728 is an abundant number, since it is smaller than the sum of its proper divisors (780832822272).

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

444129097728 is a wasteful number, since it uses less digits than its factorization.

444129097728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 444129097728 in words is "four hundred forty-four billion, one hundred twenty-nine million, ninety-seven thousand, seven hundred twenty-eight".