4004130100 has 18 divisors (see below), whose sum is σ = 8688962534. Its totient is φ = 1601652000.

The previous prime is 4004130043. The next prime is 4004130113. The reversal of 4004130100 is 10314004.

It can be written as a sum of positive squares in 3 ways, for example, as 39664804 + 3964465296 = 6298^2 + 62964^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 20020551 + ... + 20020750.

Almost surely, 2^4004130100 is an apocalyptic number.

It is an amenable number.

4004130100 is an abundant number, since it is smaller than the sum of its proper divisors (4684832434).

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

4004130100 is a wasteful number, since it uses less digits than its factorization.

4004130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40041315 (or 40041308 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4004130100 is about 63278.1960868039. The cubic root of 4004130100 is about 1587.9472077952.

Adding to 4004130100 its reverse (10314004), we get a palindrome (4014444104).

The spelling of 4004130100 in words is "four billion, four million, one hundred thirty thousand, one hundred".