4332960000 has 720 divisors, whose sum is σ = 17240731200. Its totient is φ = 1069056000.

The previous prime is 4332959989. The next prime is 4332960053. The reversal of 4332960000 is 692334.

4332960000 is a `hidden beast` number, since 4 + 33 + 29 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73439971 + ... + 73440029.

It is an arithmetic number, because the mean of its divisors is an integer number (23945460).

Almost surely, 2^4332960000 is an apocalyptic number.

4332960000 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 4332960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8620365600).

4332960000 is an abundant number, since it is smaller than the sum of its proper divisors (12907771200).

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

4332960000 is an equidigital number, since it uses as much as digits as its factorization.

4332960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 4332960000 is about 65825.2231291319. The cubic root of 4332960000 is about 1630.2775945853.

The spelling of 4332960000 in words is "four billion, three hundred thirty-two million, nine hundred sixty thousand".