330828446340000 has 960 divisors, whose sum is σ = 1425528839750400. Its totient is φ = 73010391552000.

The previous prime is 330828446339981. The next prime is 330828446340031. The reversal of 330828446340000 is 43644828033.

330828446340000 is a `hidden beast` number, since 3 + 3 + 0 + 8 + 2 + 8 + 4 + 4 + 634 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 108111022 + ... + 111128978.

It is an arithmetic number, because the mean of its divisors is an integer number (1484925874740).

Almost surely, 2^{330828446340000} is an apocalyptic number.

330828446340000 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 330828446340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712764419875200).

330828446340000 is an abundant number, since it is smaller than the sum of its proper divisors (1094700393410400).

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

330828446340000 is a wasteful number, since it uses less digits than its factorization.

330828446340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018032 (or 3018003 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 330828446340000 in words is "three hundred thirty trillion, eight hundred twenty-eight billion, four hundred forty-six million, three hundred forty thousand".