10422344205200 has 120 divisors (see below), whose sum is σ = 25662461830656. Its totient is φ = 4065344640000.

The previous prime is 10422344205173. The next prime is 10422344205253. The reversal of 10422344205200 is 250244322401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34996925 + ... + 35293475.

Almost surely, 2^{10422344205200} is an apocalyptic number.

10422344205200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10422344205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12831230915328).

10422344205200 is an abundant number, since it is smaller than the sum of its proper divisors (15240117625456).

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

10422344205200 is a wasteful number, since it uses less digits than its factorization.

10422344205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298753 (or 298742 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 10422344205200 its reverse (250244322401), we get a palindrome (10672588527601).

The spelling of 10422344205200 in words is "ten trillion, four hundred twenty-two billion, three hundred forty-four million, two hundred five thousand, two hundred".