330234412320 has 192 divisors, whose sum is σ = 1156195434240. Its totient is φ = 88033941504.

The previous prime is 330234412273. The next prime is 330234412379. The reversal of 330234412320 is 23214432033.

330234412320 is a `hidden beast` number, since 3 + 302 + 34 + 4 + 1 + 2 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 15571644 + ... + 15592836.

It is an arithmetic number, because the mean of its divisors is an integer number (6021851220).

Almost surely, 2^330234412320 is an apocalyptic number.

330234412320 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 330234412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578097717120).

330234412320 is an abundant number, since it is smaller than the sum of its proper divisors (825961021920).

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

330234412320 is a wasteful number, since it uses less digits than its factorization.

330234412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24824 (or 24810 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 330234412320 its reverse (23214432033), we get a palindrome (353448844353).

The spelling of 330234412320 in words is "three hundred thirty billion, two hundred thirty-four million, four hundred twelve thousand, three hundred twenty".