330378828240 has 320 divisors, whose sum is σ = 1162163759616. Its totient is φ = 77169033216.

The previous prime is 330378828233. The next prime is 330378828259. The reversal of 330378828240 is 42828873033.

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

It is a self number, because there is not a number n which added to its sum of digits gives 330378828240.

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 63 ways as a sum of consecutive naturals, for example, 3424504 + ... + 3519656.

Almost surely, 2^330378828240 is an apocalyptic number.

330378828240 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 330378828240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581081879808).

330378828240 is an abundant number, since it is smaller than the sum of its proper divisors (831784931376).

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

330378828240 is a wasteful number, since it uses less digits than its factorization.

330378828240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95246 (or 95240 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 330378828240 in words is "three hundred thirty billion, three hundred seventy-eight million, eight hundred twenty-eight thousand, two hundred forty".