330030032033020 has 288 divisors, whose sum is σ = 808590110416704. Its totient is φ = 112188307046400.

The previous prime is 330030032032999. The next prime is 330030032033027. The reversal of 330030032033020 is 20330230030033.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 330030032032982 and 330030032033000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330030032033027) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 35346469792 + ... + 35346479128.

It is an arithmetic number, because the mean of its divisors is an integer number (2807604550058).

Almost surely, 2^{330030032033020} 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 330030032033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404295055208352).

330030032033020 is an abundant number, since it is smaller than the sum of its proper divisors (478560078383684).

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

330030032033020 is a wasteful number, since it uses less digits than its factorization.

330030032033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13089 (or 13070 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 22.

Adding to 330030032033020 its reverse (20330230030033), we get a palindrome (350360262063053).

The spelling of 330030032033020 in words is "three hundred thirty trillion, thirty billion, thirty-two million, thirty-three thousand, twenty".