444343066128 has 180 divisors, whose sum is σ = 1348384531572. Its totient is φ = 136535592960.

The previous prime is 444343066103. The next prime is 444343066129. The reversal of 444343066128 is 821660343444.

444343066128 is a `hidden beast` number, since 4 + 4 + 434 + 30 + 66 + 128 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 362611117584 + 81731948544 = 602172^2 + 285888^2 .

It is not an unprimeable number, because it can be changed into a prime (444343066129) 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 35 ways as a sum of consecutive naturals, for example, 18507700 + ... + 18531692.

Almost surely, 2^444343066128 is an apocalyptic number.

444343066128 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 444343066128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674192265786).

444343066128 is an abundant number, since it is smaller than the sum of its proper divisors (904041465444).

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

444343066128 is a wasteful number, since it uses less digits than its factorization.

444343066128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24794 (or 24772 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 444343066128 in words is "four hundred forty-four billion, three hundred forty-three million, sixty-six thousand, one hundred twenty-eight".