328199639040 has 1248 divisors, whose sum is σ = 1483797159936. Its totient is φ = 65116569600.

The previous prime is 328199638997. The next prime is 328199639041. The reversal of 328199639040 is 40936991823.

328199639040 is a `hidden beast` number, since 3 + 28 + 199 + 6 + 390 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is not an unprimeable number, because it can be changed into a prime (328199639041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 285142465 + ... + 285143615.

It is an arithmetic number, because the mean of its divisors is an integer number (1188940032).

Almost surely, 2^328199639040 is an apocalyptic number.

328199639040 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 328199639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741898579968).

328199639040 is an abundant number, since it is smaller than the sum of its proper divisors (1155597520896).

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

328199639040 is a wasteful number, since it uses less digits than its factorization.

328199639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 328199639040 in words is "three hundred twenty-eight billion, one hundred ninety-nine million, six hundred thirty-nine thousand, forty".