4102004304 has 120 divisors (see below), whose sum is σ = 11727541800. Its totient is φ = 1338163200.

The previous prime is 4102004287. The next prime is 4102004311. The reversal of 4102004304 is 4034002014.

It can be written as a sum of positive squares in 4 ways, for example, as 1693157904 + 2408846400 = 41148^2 + 49080^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1292832 + ... + 1296000.

It is an arithmetic number, because the mean of its divisors is an integer number (97729515).

Almost surely, 2^4102004304 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 4102004304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5863770900).

4102004304 is an abundant number, since it is smaller than the sum of its proper divisors (7625537496).

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

4102004304 is a wasteful number, since it uses less digits than its factorization.

4102004304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4102004304 is about 64046.8914468142. The cubic root of 4102004304 is about 1600.7814287103.

Adding to 4102004304 its reverse (4034002014), we get a palindrome (8136006318).

The spelling of 4102004304 in words is "four billion, one hundred two million, four thousand, three hundred four".