330225942528000 has 1120 divisors, whose sum is σ = 1236344986253520. Its totient is φ = 88060251340800.

The previous prime is 330225942527953. The next prime is 330225942528029. The reversal of 330225942528000 is 825249522033.

The cubic root of 330225942528000 is 69120.

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

It is a Jordan-Polya number, since it can be written as (6!)³ ⋅ (4!)³ ⋅ (2!)⁶.

330225942528000 is a `hidden beast` number, since 3 + 3 + 0 + 2 + 2 + 594 + 2 + 52 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66045188505598 + ... + 66045188505602.

Almost surely, 2^{330225942528000} is an apocalyptic number.

330225942528000 is a gapful number since it is divisible by the number (30) 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 330225942528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618172493126760).

330225942528000 is an abundant number, since it is smaller than the sum of its proper divisors (906119043725520).

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

330225942528000 is an frugal number, since it uses more digits than its factorization.

330225942528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 330225942528000 in words is "three hundred thirty trillion, two hundred twenty-five billion, nine hundred forty-two million, five hundred twenty-eight thousand".