4332459079936 has 81 divisors (see below), whose sum is σ = 9365332280241. Its totient is φ = 1999396678656.

The previous prime is 4332459079847. The next prime is 4332459080003. The reversal of 4332459079936 is 6399709542334.

The square root of 4332459079936 is 2081456.

It is a perfect power (a square), and thus also a powerful number.

4332459079936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 640896313600 + 3691562766336 = 800560^2 + 1921344^2 .

It is a super-3 number, since 3×4332459079936³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 432937845 + ... + 432947851.

Almost surely, 2^{4332459079936} is an apocalyptic number.

4332459079936 is the 2081456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4332459079936

4332459079936 is an abundant number, since it is smaller than the sum of its proper divisors (5032873200305).

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

4332459079936 is an frugal number, since it uses more digits than its factorization.

4332459079936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20056 (or 10022 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 64.

Multiplying 4332459079936 by its sum of digits (64), we get a square (277277381115904 = 16651648²).

4332459079936 divided by its sum of digits (64) gives a square (67694673124 = 260182²).

The spelling of 4332459079936 in words is "four trillion, three hundred thirty-two billion, four hundred fifty-nine million, seventy-nine thousand, nine hundred thirty-six".