13400044200200 has 144 divisors (see below), whose sum is σ = 37817374711680. Its totient is φ = 4394548583040.

The previous prime is 13400044200167. The next prime is 13400044200203. The reversal of 13400044200200 is 200244000431.

It is a super-2 number, since 2×13400044200200² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13400044200203) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 29499632 + ... + 29950431.

It is an arithmetic number, because the mean of its divisors is an integer number (262620657720).

Almost surely, 2^{13400044200200} is an apocalyptic number.

13400044200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13400044200200 is an abundant number, since it is smaller than the sum of its proper divisors (24417330511480).

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

13400044200200 is a wasteful number, since it uses less digits than its factorization.

13400044200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59450116 (or 59450100 counting only the distinct ones).

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

Adding to 13400044200200 its reverse (200244000431), we get a palindrome (13600288200631).

The spelling of 13400044200200 in words is "thirteen trillion, four hundred billion, forty-four million, two hundred thousand, two hundred".