4314103242200 has 192 divisors, whose sum is σ = 10249805577600. Its totient is φ = 1688334336000.

The previous prime is 4314103242107. The next prime is 4314103242217. The reversal of 4314103242200 is 22423014134.

It is a super-2 number, since 2×4314103242200² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4314103242200.

It is a congruent number.

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, 994718432 + ... + 994722768.

It is an arithmetic number, because the mean of its divisors is an integer number (53384404050).

Almost surely, 2^{4314103242200} is an apocalyptic number.

4314103242200 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 4314103242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124902788800).

4314103242200 is an abundant number, since it is smaller than the sum of its proper divisors (5935702335400).

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

4314103242200 is a wasteful number, since it uses less digits than its factorization.

4314103242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4314103242200 its reverse (22423014134), we get a palindrome (4336526256334).

The spelling of 4314103242200 in words is "four trillion, three hundred fourteen billion, one hundred three million, two hundred forty-two thousand, two hundred".