328766442240 has 288 divisors, whose sum is σ = 1135142104320. Its totient is φ = 80811343872.

The previous prime is 328766442209. The next prime is 328766442247. The reversal of 328766442240 is 42244667823.

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 328766442240.

It is not an unprimeable number, because it can be changed into a prime (328766442247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2638627 + ... + 2760413.

It is an arithmetic number, because the mean of its divisors is an integer number (3941465640).

Almost surely, 2^328766442240 is an apocalyptic number.

328766442240 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 328766442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567571052160).

328766442240 is an abundant number, since it is smaller than the sum of its proper divisors (806375662080).

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

328766442240 is a wasteful number, since it uses less digits than its factorization.

328766442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121867 (or 121853 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 48.

The spelling of 328766442240 in words is "three hundred twenty-eight billion, seven hundred sixty-six million, four hundred forty-two thousand, two hundred forty".