330241134133440 has 168 divisors, whose sum is σ = 1143515338009200. Its totient is φ = 87473266735104.

The previous prime is 330241134133439. The next prime is 330241134133459. The reversal of 330241134133440 is 44331431142033.

330241134133440 is a `hidden beast` number, since 3 + 3 + 0 + 241 + 1 + 3 + 41 + 334 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 330241134133395 and 330241134133404.

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 23 ways as a sum of consecutive naturals, for example, 384359674 + ... + 385217913.

Almost surely, 2^{330241134133440} is an apocalyptic number.

330241134133440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330241134133440 is an abundant number, since it is smaller than the sum of its proper divisors (813274203875760).

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

330241134133440 is a wasteful number, since it uses less digits than its factorization.

330241134133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769577759 (or 769577746 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 330241134133440 its reverse (44331431142033), we get a palindrome (374572565275473).

The spelling of 330241134133440 in words is "three hundred thirty trillion, two hundred forty-one billion, one hundred thirty-four million, one hundred thirty-three thousand, four hundred forty".