330232433940480 has 384 divisors, whose sum is σ = 1114524668275200. Its totient is φ = 83244520046592.

The previous prime is 330232433940463. The next prime is 330232433940503. The reversal of 330232433940480 is 84049334232033.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 266122749 + ... + 267360771.

It is an arithmetic number, because the mean of its divisors is an integer number (2902407990300).

Almost surely, 2^{330232433940480} is an apocalyptic number.

330232433940480 is a gapful number since it is divisible by the number (30) 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 330232433940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557262334137600).

330232433940480 is an abundant number, since it is smaller than the sum of its proper divisors (784292234334720).

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

330232433940480 is a wasteful number, since it uses less digits than its factorization.

330232433940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238529 (or 1238509 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 48.

The spelling of 330232433940480 in words is "three hundred thirty trillion, two hundred thirty-two billion, four hundred thirty-three million, nine hundred forty thousand, four hundred eighty".