244204214400 has 144 divisors (see below), whose sum is σ = 871376703210. Its totient is φ = 65121116160.

The previous prime is 244204214383. The next prime is 244204214477. The reversal of 244204214400 is 4412402442.

244204214400 is a `hidden beast` number, since 2 + 4 + 42 + 0 + 4 + 214 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 145673515584 + 98530698816 = 381672^2 + 313896^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 4210857 + ... + 4268456.

Almost surely, 2^244204214400 is an apocalyptic number.

244204214400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244204214400 is an abundant number, since it is smaller than the sum of its proper divisors (627172488810).

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

244204214400 is a wasteful number, since it uses less digits than its factorization.

244204214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8479343 (or 8479323 counting only the distinct ones).

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

Adding to 244204214400 its reverse (4412402442), we get a palindrome (248616616842).

The spelling of 244204214400 in words is "two hundred forty-four billion, two hundred four million, two hundred fourteen thousand, four hundred".