4004402420 has 12 divisors (see below), whose sum is σ = 8409245124. Its totient is φ = 1601760960.

The previous prime is 4004402417. The next prime is 4004402431. The reversal of 4004402420 is 242044004.

It can be written as a sum of positive squares in 2 ways, for example, as 401761936 + 3602640484 = 20044^2 + 60022^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 200220121 = 4004402420 / (4 + 0 + 0 + 4 + 4 + 0 + 2 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 4004402392 and 4004402401.

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 3 ways as a sum of consecutive naturals, for example, 100110041 + ... + 100110080.

It is an arithmetic number, because the mean of its divisors is an integer number (700770427).

Almost surely, 2^4004402420 is an apocalyptic number.

It is an amenable number.

4004402420 is an abundant number, since it is smaller than the sum of its proper divisors (4404842704).

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

4004402420 is a wasteful number, since it uses less digits than its factorization.

4004402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200220130 (or 200220128 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4004402420 is about 63280.3478182603. The cubic root of 4004402420 is about 1587.9832056249.

Adding to 4004402420 its reverse (242044004), we get a palindrome (4246446424).

The spelling of 4004402420 in words is "four billion, four million, four hundred two thousand, four hundred twenty".