4114312022200 has 96 divisors (see below), whose sum is σ = 10032349361760. Its totient is φ = 1566180492800.

The previous prime is 4114312022153. The next prime is 4114312022201. The reversal of 4114312022200 is 22202134114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114312022201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1363891 + ... + 3176290.

It is an arithmetic number, because the mean of its divisors is an integer number (104503639185).

Almost surely, 2^{4114312022200} is an apocalyptic number.

4114312022200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114312022200 is an abundant number, since it is smaller than the sum of its proper divisors (5918037339560).

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

4114312022200 is a wasteful number, since it uses less digits than its factorization.

4114312022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540417 (or 4540408 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 4114312022200 its reverse (22202134114), we get a palindrome (4136514156314).

The spelling of 4114312022200 in words is "four trillion, one hundred fourteen billion, three hundred twelve million, twenty-two thousand, two hundred".