330230202020320 has 192 divisors, whose sum is σ = 904207789642752. Its totient is φ = 111623629824000.

The previous prime is 330230202020309. The next prime is 330230202020359. The reversal of 330230202020320 is 23020202032033.

It is a junction number, because it is equal to n+sod(n) for n = 330230202020291 and 330230202020300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4650373615 + ... + 4650444625.

It is an arithmetic number, because the mean of its divisors is an integer number (4709415571056).

Almost surely, 2^{330230202020320} 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 330230202020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452103894821376).

330230202020320 is an abundant number, since it is smaller than the sum of its proper divisors (573977587622432).

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

330230202020320 is a wasteful number, since it uses less digits than its factorization.

330230202020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129585 (or 129577 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 330230202020320 its reverse (23020202032033), we get a palindrome (353250404052353).

The spelling of 330230202020320 in words is "three hundred thirty trillion, two hundred thirty billion, two hundred two million, twenty thousand, three hundred twenty".