444384296832 has 256 divisors, whose sum is σ = 1409571717120. Its totient is φ = 121283205120.

The previous prime is 444384296821. The next prime is 444384296893. The reversal of 444384296832 is 238692483444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50134833 + ... + 50143695.

It is an arithmetic number, because the mean of its divisors is an integer number (5506139520).

Almost surely, 2^444384296832 is an apocalyptic number.

444384296832 is a gapful number since it is divisible by the number (42) 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 444384296832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704785858560).

444384296832 is an abundant number, since it is smaller than the sum of its proper divisors (965187420288).

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

444384296832 is a wasteful number, since it uses less digits than its factorization.

444384296832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9721 (or 9709 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 57.

The spelling of 444384296832 in words is "four hundred forty-four billion, three hundred eighty-four million, two hundred ninety-six thousand, eight hundred thirty-two".