4048130304 has 288 divisors, whose sum is σ = 12962557440. Its totient is φ = 1241284608.

The previous prime is 4048130293. The next prime is 4048130309. The reversal of 4048130304 is 4030318404.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4048130309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5522322 + ... + 5523054.

It is an arithmetic number, because the mean of its divisors is an integer number (45008880).

Almost surely, 2^4048130304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4048130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481278720).

4048130304 is an abundant number, since it is smaller than the sum of its proper divisors (8914427136).

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

4048130304 is a wasteful number, since it uses less digits than its factorization.

4048130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4048130304 is about 63624.9188918933. The cubic root of 4048130304 is about 1593.7425260826.

Adding to 4048130304 its reverse (4030318404), we get a palindrome (8078448708).

The spelling of 4048130304 in words is "four billion, forty-eight million, one hundred thirty thousand, three hundred four".