330020334144 has 84 divisors (see below), whose sum is σ = 1001587477644. Its totient is φ = 103535788032.

The previous prime is 330020334131. The next prime is 330020334173. The reversal of 330020334144 is 441433020033.

330020334144 is a `hidden beast` number, since 3 + 300 + 20 + 334 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 307013511744 + 23006822400 = 554088^2 + 151680^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16841737 + ... + 16861320.

Almost surely, 2^330020334144 is an apocalyptic number.

330020334144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

330020334144 is an abundant number, since it is smaller than the sum of its proper divisors (671567143500).

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

330020334144 is a wasteful number, since it uses less digits than its factorization.

330020334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33703092 (or 33703079 counting only the distinct ones).

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

Adding to 330020334144 its reverse (441433020033), we get a palindrome (771453354177).

The spelling of 330020334144 in words is "three hundred thirty billion, twenty million, three hundred thirty-four thousand, one hundred forty-four".