20414432200200 has 48 divisors (see below), whose sum is σ = 63284739822480. Its totient is φ = 5443848586560.

The previous prime is 20414432200189. The next prime is 20414432200259. The reversal of 20414432200200 is 200223441402.

It is a super-2 number, since 2×20414432200200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17012026234 + ... + 17012027433.

It is an arithmetic number, because the mean of its divisors is an integer number (1318432079635).

Almost surely, 2^{20414432200200} is an apocalyptic number.

20414432200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20414432200200 is an abundant number, since it is smaller than the sum of its proper divisors (42870307622280).

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

20414432200200 is a wasteful number, since it uses less digits than its factorization.

20414432200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34024053686 (or 34024053677 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20414432200200 its reverse (200223441402), we get a palindrome (20614655641602).

The spelling of 20414432200200 in words is "twenty trillion, four hundred fourteen billion, four hundred thirty-two million, two hundred thousand, two hundred".