4813380000 has 1080 divisors, whose sum is σ = 21438140724. Its totient is φ = 1013760000.

The previous prime is 4813379981. The next prime is 4813380001. The reversal of 4813380000 is 833184.

It can be written as a sum of positive squares in 10 ways, for example, as 509495184 + 4303884816 = 22572^2 + 65604^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4813380001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 283139992 + ... + 283140008.

Almost surely, 2^4813380000 is an apocalyptic number.

4813380000 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 4813380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10719070362).

4813380000 is an abundant number, since it is smaller than the sum of its proper divisors (16624760724).

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

4813380000 is a wasteful number, since it uses less digits than its factorization.

4813380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4813380000 is about 69378.5269373745. The cubic root of 4813380000 is about 1688.4312555346.

The spelling of 4813380000 in words is "four billion, eight hundred thirteen million, three hundred eighty thousand".