330030020024320 has 2304 divisors, whose sum is σ = 1069955018496000. Its totient is φ = 94829543424000.

The previous prime is 330030020024317. The next prime is 330030020024321. The reversal of 330030020024320 is 23420020030033.

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 = 330030020024291 and 330030020024300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330030020024321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1658442311581 + ... + 1658442311779.

It is an arithmetic number, because the mean of its divisors is an integer number (464390199000).

Almost surely, 2^{330030020024320} 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 330030020024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534977509248000).

330030020024320 is an abundant number, since it is smaller than the sum of its proper divisors (739924998471680).

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

330030020024320 is a wasteful number, since it uses less digits than its factorization.

330030020024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 355 counting only the distinct ones).

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

Adding to 330030020024320 its reverse (23420020030033), we get a palindrome (353450040054353).

The spelling of 330030020024320 in words is "three hundred thirty trillion, thirty billion, twenty million, twenty-four thousand, three hundred twenty".