4102304000 has 144 divisors (see below), whose sum is σ = 10821925296. Its totient is φ = 1544192000.

The previous prime is 4102303999. The next prime is 4102304009. The reversal of 4102304000 is 4032014.

It can be written as a sum of positive squares in 8 ways, for example, as 1616683264 + 2485620736 = 40208^2 + 49856^2 .

It is not an unprimeable number, because it can be changed into a prime (4102304009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540230 + ... + 547770.

It is an arithmetic number, because the mean of its divisors is an integer number (75152259).

Almost surely, 2^4102304000 is an apocalyptic number.

4102304000 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 4102304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410962648).

4102304000 is an abundant number, since it is smaller than the sum of its proper divisors (6719621296).

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

4102304000 is an equidigital number, since it uses as much as digits as its factorization.

4102304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7589 (or 7565 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4102304000 is about 64049.2310648613. The cubic root of 4102304000 is about 1600.8204125884.

Adding to 4102304000 its reverse (4032014), we get a palindrome (4106336014).

The spelling of 4102304000 in words is "four billion, one hundred two million, three hundred four thousand".