4800004000 has 288 divisors, whose sum is σ = 13395170880. Its totient is φ = 1675968000.

The previous prime is 4800003983. The next prime is 4800004019. The reversal of 4800004000 is 4000084.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81355971 + ... + 81356029.

It is an arithmetic number, because the mean of its divisors is an integer number (46511010).

Almost surely, 2^4800004000 is an apocalyptic number.

4800004000 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 4800004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6697585440).

4800004000 is an abundant number, since it is smaller than the sum of its proper divisors (8595166880).

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

4800004000 is a wasteful number, since it uses less digits than its factorization.

4800004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4800004000 is about 69282.0611702625. The cubic root of 4800004000 is about 1686.8657991771.

Adding to 4800004000 its reverse (4000084), we get a palindrome (4804004084).

The spelling of 4800004000 in words is "four billion, eight hundred million, four thousand".