4311142314200 has 96 divisors (see below), whose sum is σ = 10369949227200. Its totient is φ = 1664846991360.

The previous prime is 4311142314137. The next prime is 4311142314203. The reversal of 4311142314200 is 24132411134.

4311142314200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4311142314200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4311142314203) 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, 85542209 + ... + 85592591.

It is an arithmetic number, because the mean of its divisors is an integer number (108020304450).

Almost surely, 2^{4311142314200} is an apocalyptic number.

4311142314200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4311142314200 is an abundant number, since it is smaller than the sum of its proper divisors (6058806913000).

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

4311142314200 is a wasteful number, since it uses less digits than its factorization.

4311142314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65181 (or 65172 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 4311142314200 its reverse (24132411134), we get a palindrome (4335274725334).

The spelling of 4311142314200 in words is "four trillion, three hundred eleven billion, one hundred forty-two million, three hundred fourteen thousand, two hundred".