330033120144 has 160 divisors (see below), whose sum is σ = 1049635319040. Its totient is φ = 87016882176.

The previous prime is 330033120121. The next prime is 330033120187. The reversal of 330033120144 is 441021330033.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19249944 + ... + 19267080.

It is an arithmetic number, because the mean of its divisors is an integer number (6560220744).

Almost surely, 2^330033120144 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 330033120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524817659520).

330033120144 is an abundant number, since it is smaller than the sum of its proper divisors (719602198896).

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

330033120144 is a wasteful number, since it uses less digits than its factorization.

330033120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21577 (or 21571 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 330033120144 its reverse (441021330033), we get a palindrome (771054450177).

The spelling of 330033120144 in words is "three hundred thirty billion, thirty-three million, one hundred twenty thousand, one hundred forty-four".