330340869011328 has 512 divisors, whose sum is σ = 1068708985344000. Its totient is φ = 88305999151104.

The previous prime is 330340869011317. The next prime is 330340869011339. The reversal of 330340869011328 is 823110968043033.

It is an interprime number because it is at equal distance from previous prime (330340869011317) and next prime (330340869011339).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13000926688 + ... + 13000952096.

It is an arithmetic number, because the mean of its divisors is an integer number (2087322237000).

Almost surely, 2^{330340869011328} is an apocalyptic number.

330340869011328 is a gapful number since it is divisible by the number (38) 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 330340869011328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534354492672000).

330340869011328 is an abundant number, since it is smaller than the sum of its proper divisors (738368116332672).

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

330340869011328 is a wasteful number, since it uses less digits than its factorization.

330340869011328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28602 (or 28590 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 330340869011328 in words is "three hundred thirty trillion, three hundred forty billion, eight hundred sixty-nine million, eleven thousand, three hundred twenty-eight".