4816320000 has 400 divisors, whose sum is σ = 16682347440. Its totient is φ = 1232896000.

The previous prime is 4816319983. The next prime is 4816320011. The reversal of 4816320000 is 236184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27839914 + ... + 27840086.

Almost surely, 2^4816320000 is an apocalyptic number.

4816320000 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 4816320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8341173720).

4816320000 is an abundant number, since it is smaller than the sum of its proper divisors (11866027440).

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

4816320000 is an equidigital number, since it uses as much as digits as its factorization.

4816320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4816320000 is about 69399.7118149636. The cubic root of 4816320000 is about 1688.7749487101.

Adding to 4816320000 its reverse (236184), we get a palindrome (4816556184).

The spelling of 4816320000 in words is "four billion, eight hundred sixteen million, three hundred twenty thousand".