330442233013020 has 192 divisors, whose sum is σ = 955417238576640. Its totient is φ = 85290989617152.

The previous prime is 330442233013007. The next prime is 330442233013037. The reversal of 330442233013020 is 20310332244033.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 500831664 + ... + 501491016.

It is an arithmetic number, because the mean of its divisors is an integer number (4976131450920).

Almost surely, 2^{330442233013020} is an apocalyptic number.

330442233013020 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 330442233013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477708619288320).

330442233013020 is an abundant number, since it is smaller than the sum of its proper divisors (624975005563620).

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

330442233013020 is a wasteful number, since it uses less digits than its factorization.

330442233013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661604 (or 661602 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 330442233013020 its reverse (20310332244033), we get a palindrome (350752565257053).

The spelling of 330442233013020 in words is "three hundred thirty trillion, four hundred forty-two billion, two hundred thirty-three million, thirteen thousand, twenty".