4004302240 has 192 divisors, whose sum is σ = 10137415680. Its totient is φ = 1492254720.

The previous prime is 4004302219. The next prime is 4004302243. The reversal of 4004302240 is 422034004.

It is not an unprimeable number, because it can be changed into a prime (4004302243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20747584 + ... + 20747776.

It is an arithmetic number, because the mean of its divisors is an integer number (52799040).

Almost surely, 2^4004302240 is an apocalyptic number.

4004302240 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 4004302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068707840).

4004302240 is an abundant number, since it is smaller than the sum of its proper divisors (6133113440).

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

4004302240 is a wasteful number, since it uses less digits than its factorization.

4004302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4004302240 is about 63279.5562563455. The cubic root of 4004302240 is about 1587.9699630761.

Adding to 4004302240 its reverse (422034004), we get a palindrome (4426336244).

The spelling of 4004302240 in words is "four billion, four million, three hundred two thousand, two hundred forty".