4114200240200 has 192 divisors, whose sum is σ = 10059226704000. Its totient is φ = 1562743203840.

The previous prime is 4114200240133. The next prime is 4114200240217. The reversal of 4114200240200 is 20420024114.

4114200240200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151987067 + ... + 152014133.

It is an arithmetic number, because the mean of its divisors is an integer number (52391805750).

Almost surely, 2^{4114200240200} is an apocalyptic number.

4114200240200 is a gapful number since it is divisible by the number (40) 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 4114200240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029613352000).

4114200240200 is an abundant number, since it is smaller than the sum of its proper divisors (5945026463800).

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

4114200240200 is a wasteful number, since it uses less digits than its factorization.

4114200240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27544 (or 27535 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 4114200240200 its reverse (20420024114), we get a palindrome (4134620264314).

The spelling of 4114200240200 in words is "four trillion, one hundred fourteen billion, two hundred million, two hundred forty thousand, two hundred".