744320128338 has 96 divisors (see below), whose sum is σ = 1678052376000. Its totient is φ = 238155120000.

The previous prime is 744320128297. The next prime is 744320128397. The reversal of 744320128338 is 833821023447.

744320128338 is a `hidden beast` number, since 7 + 44 + 320 + 1 + 283 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 744320128293 and 744320128302.

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 47 ways as a sum of consecutive naturals, for example, 74808588 + ... + 74818536.

It is an arithmetic number, because the mean of its divisors is an integer number (17479712250).

Almost surely, 2^744320128338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744320128338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839026188000).

744320128338 is an abundant number, since it is smaller than the sum of its proper divisors (933732247662).

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

744320128338 is a wasteful number, since it uses less digits than its factorization.

744320128338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10808 (or 10805 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 744320128338 in words is "seven hundred forty-four billion, three hundred twenty million, one hundred twenty-eight thousand, three hundred thirty-eight".