200444424400404 has 36 divisors (see below), whose sum is σ = 507807422658900. Its totient is φ = 66666000092160.

The previous prime is 200444424400379. The next prime is 200444424400463. The reversal of 200444424400404 is 404004424444002.

200444424400404 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 4 + 4 + 4 + 244 + 0 + 0 + 404 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77989174997904 + 122455249402500 = 8831148^2 + 11065950^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6200318667 + ... + 6200350994.

It is an arithmetic number, because the mean of its divisors is an integer number (14105761740525).

Almost surely, 2^{200444424400404} is an apocalyptic number.

It is an amenable number.

200444424400404 is an abundant number, since it is smaller than the sum of its proper divisors (307362998258496).

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

200444424400404 is a wasteful number, since it uses less digits than its factorization.

200444424400404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12400670120 (or 12400670115 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 200444424400404 its reverse (404004424444002), we get a palindrome (604448848844406).

The spelling of 200444424400404 in words is "two hundred trillion, four hundred forty-four billion, four hundred twenty-four million, four hundred thousand, four hundred four".