4816400000 has 96 divisors (see below), whose sum is σ = 11994193260. Its totient is φ = 1926400000.

The previous prime is 4816399981. The next prime is 4816400009. The reversal of 4816400000 is 46184.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 385101376 + 4431298624 = 19624^2 + 66568^2 .

It is not an unprimeable number, because it can be changed into a prime (4816400009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393980 + ... + 406020.

Almost surely, 2^4816400000 is an apocalyptic number.

4816400000 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 4816400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997096630).

4816400000 is an abundant number, since it is smaller than the sum of its proper divisors (7177793260).

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

4816400000 is an frugal number, since it uses more digits than its factorization.

4816400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12080 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4816400000 is about 69400.2881838397. The cubic root of 4816400000 is about 1688.7842989504.

Adding to 4816400000 its reverse (46184), we get a palindrome (4816446184).

The spelling of 4816400000 in words is "four billion, eight hundred sixteen million, four hundred thousand".