4404200410404 has 36 divisors (see below), whose sum is σ = 11132941160796. Its totient is φ = 1468053453888.

The previous prime is 4404200410369. The next prime is 4404200410427. The reversal of 4404200410404 is 4040140024044.

4404200410404 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 200 + 410 + 40 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2716721469504 + 1687478940900 = 1648248^2 + 1299030^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 3960022 + ... + 4948754.

Almost surely, 2^{4404200410404} is an apocalyptic number.

It is an amenable number.

4404200410404 is an abundant number, since it is smaller than the sum of its proper divisors (6728740750392).

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

4404200410404 is a wasteful number, since it uses less digits than its factorization.

4404200410404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112476 (or 1112471 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4404200410404 its reverse (4040140024044), we get a palindrome (8444340434448).

The spelling of 4404200410404 in words is "four trillion, four hundred four billion, two hundred million, four hundred ten thousand, four hundred four".