330194413120 has 224 divisors, whose sum is σ = 945224058240. Its totient is φ = 108256296960.

The previous prime is 330194413117. The next prime is 330194413121. The reversal of 330194413120 is 21314491033.

It is a super-2 number, since 2×330194413120² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330194413121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1883776 + ... + 2051584.

It is an arithmetic number, because the mean of its divisors is an integer number (4219750260).

Almost surely, 2^330194413120 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 330194413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472612029120).

330194413120 is an abundant number, since it is smaller than the sum of its proper divisors (615029645120).

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

330194413120 is a wasteful number, since it uses less digits than its factorization.

330194413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167893 (or 167883 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 330194413120 in words is "three hundred thirty billion, one hundred ninety-four million, four hundred thirteen thousand, one hundred twenty".