4328120200320 has 1920 divisors, whose sum is σ = 18457126309440. Its totient is φ = 968886116352.

The previous prime is 4328120200267. The next prime is 4328120200331. The reversal of 4328120200320 is 230020218234.

4328120200320 is a `hidden beast` number, since 4 + 328 + 12 + 0 + 2 + 0 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 239 ways as a sum of consecutive naturals, for example, 25018035754 + ... + 25018035926.

Almost surely, 2^{4328120200320} is an apocalyptic number.

4328120200320 is a gapful number since it is divisible by the number (40) 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 4328120200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9228563154720).

4328120200320 is an abundant number, since it is smaller than the sum of its proper divisors (14129006109120).

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

4328120200320 is an frugal number, since it uses more digits than its factorization.

4328120200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4328120200320 its reverse (230020218234), we get a palindrome (4558140418554).

The spelling of 4328120200320 in words is "four trillion, three hundred twenty-eight billion, one hundred twenty million, two hundred thousand, three hundred twenty".