330010380916128 has 864 divisors, whose sum is σ = 1102400398689408. Its totient is φ = 93370604912640.

The previous prime is 330010380916109. The next prime is 330010380916157. The reversal of 330010380916128 is 821619083010033.

330010380916128 is a `hidden beast` number, since 3 + 300 + 103 + 80 + 9 + 161 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5675420751 + ... + 5675478897.

It is an arithmetic number, because the mean of its divisors is an integer number (1275926387372).

Almost surely, 2^{330010380916128} 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 330010380916128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551200199344704).

330010380916128 is an abundant number, since it is smaller than the sum of its proper divisors (772390017773280).

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

330010380916128 is a wasteful number, since it uses less digits than its factorization.

330010380916128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58378 (or 58356 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 330010380916128 in words is "three hundred thirty trillion, ten billion, three hundred eighty million, nine hundred sixteen thousand, one hundred twenty-eight".