330441302414196 has 144 divisors (see below), whose sum is σ = 885223657281600. Its totient is φ = 103640828368896.

The previous prime is 330441302414147. The next prime is 330441302414269. The reversal of 330441302414196 is 691414203144033.

330441302414196 is a `hidden beast` number, since 3 + 3 + 0 + 4 + 41 + 3 + 0 + 2 + 414 + 196 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250522756 + ... + 251838308.

It is an arithmetic number, because the mean of its divisors is an integer number (6147386508900).

Almost surely, 2^{330441302414196} is an apocalyptic number.

330441302414196 is a gapful number since it is divisible by the number (36) 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 330441302414196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442611828640800).

330441302414196 is an abundant number, since it is smaller than the sum of its proper divisors (554782354867404).

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

330441302414196 is a wasteful number, since it uses less digits than its factorization.

330441302414196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318078 (or 1318073 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 330441302414196 in words is "three hundred thirty trillion, four hundred forty-one billion, three hundred two million, four hundred fourteen thousand, one hundred ninety-six".