444794752128 has 256 divisors, whose sum is σ = 1338436656000. Its totient is φ = 130029649920.

The previous prime is 444794752121. The next prime is 444794752133. The reversal of 444794752128 is 821257497444.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (444794752121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7536558 + ... + 7595346.

Almost surely, 2^444794752128 is an apocalyptic number.

444794752128 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 444794752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669218328000).

444794752128 is an abundant number, since it is smaller than the sum of its proper divisors (893641903872).

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

444794752128 is a wasteful number, since it uses less digits than its factorization.

444794752128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58903 (or 58891 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 57.

The spelling of 444794752128 in words is "four hundred forty-four billion, seven hundred ninety-four million, seven hundred fifty-two thousand, one hundred twenty-eight".