330030304400000 has 192 divisors, whose sum is σ = 822030156702720. Its totient is φ = 131975184000000.

The previous prime is 330030304399909. The next prime is 330030304400023. The reversal of 330030304400000 is 4403030033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1452286385 + ... + 1452513615.

It is an arithmetic number, because the mean of its divisors is an integer number (4281407066160).

Almost surely, 2^{330030304400000} 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 330030304400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411015078351360).

330030304400000 is an abundant number, since it is smaller than the sum of its proper divisors (491999852302720).

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

330030304400000 is an frugal number, since it uses more digits than its factorization.

330030304400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230901 (or 230869 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 330030304400000 its reverse (4403030033), we get a palindrome (330034707430033).

The spelling of 330030304400000 in words is "three hundred thirty trillion, thirty billion, three hundred four million, four hundred thousand".