4385952326224 has 320 divisors, whose sum is σ = 10298169446400. Its totient is φ = 1770389913600.

The previous prime is 4385952326207. The next prime is 4385952326311. The reversal of 4385952326224 is 4226232595834.

4385952326224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6635328454 + ... + 6635329114.

It is an arithmetic number, because the mean of its divisors is an integer number (32181779520).

Almost surely, 2^{4385952326224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4385952326224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149084723200).

4385952326224 is an abundant number, since it is smaller than the sum of its proper divisors (5912217120176).

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

4385952326224 is a wasteful number, since it uses less digits than its factorization.

4385952326224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 55.

The spelling of 4385952326224 in words is "four trillion, three hundred eighty-five billion, nine hundred fifty-two million, three hundred twenty-six thousand, two hundred twenty-four".