330024224000000 has 672 divisors, whose sum is σ = 886812086160000. Its totient is φ = 122390323200000.

The previous prime is 330024223999997. The next prime is 330024224000011. The reversal of 330024224000000 is 422420033.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28575994226 + ... + 28576005774.

It is an arithmetic number, because the mean of its divisors is an integer number (1319660842500).

Almost surely, 2^{330024224000000} 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 330024224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443406043080000).

330024224000000 is an abundant number, since it is smaller than the sum of its proper divisors (556787862160000).

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

330024224000000 is an frugal number, since it uses more digits than its factorization.

330024224000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11667 (or 11622 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 330024224000000 its reverse (422420033), we get a palindrome (330024646420033).

The spelling of 330024224000000 in words is "three hundred thirty trillion, twenty-four billion, two hundred twenty-four million", and thus it is an aban number.