4232520768000 has 1920 divisors, whose sum is σ = 17343053544960. Its totient is φ = 895942656000.

The previous prime is 4232520767963. The next prime is 4232520768041. The reversal of 4232520768000 is 8670252324.

4232520768000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a self number, because there is not a number n which added to its sum of digits gives 4232520768000.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37455935944 + ... + 37455936056.

It is an arithmetic number, because the mean of its divisors is an integer number (9032840388).

Almost surely, 2^{4232520768000} is an apocalyptic number.

4232520768000 is a gapful number since it is divisible by the number (40) 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 4232520768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8671526772480).

4232520768000 is an abundant number, since it is smaller than the sum of its proper divisors (13110532776960).

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

4232520768000 is a wasteful number, since it uses less digits than its factorization.

4232520768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 4232520768000 in words is "four trillion, two hundred thirty-two billion, five hundred twenty million, seven hundred sixty-eight thousand".