13400244200 has 96 divisors (see below), whose sum is σ = 35630487360. Its totient is φ = 4591257600.

The previous prime is 13400244191. The next prime is 13400244211. The reversal of 13400244200 is 244200431.

It is a Harshad number since it is a multiple of its sum of digits (20).

13400244200 is a modest number, since divided by 244200 gives 13400 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3180095 + ... + 3184305.

It is an arithmetic number, because the mean of its divisors is an integer number (371150910).

Almost surely, 2^13400244200 is an apocalyptic number.

13400244200 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 13400244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17815243680).

13400244200 is an abundant number, since it is smaller than the sum of its proper divisors (22230243160).

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

13400244200 is a wasteful number, since it uses less digits than its factorization.

13400244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6507 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 13400244200 its reverse (244200431), we get a palindrome (13644444631).

The spelling of 13400244200 in words is "thirteen billion, four hundred million, two hundred forty-four thousand, two hundred".