314044343204200 has 192 divisors, whose sum is σ = 838377340416000. Its totient is φ = 107167428560640.

The previous prime is 314044343204159. The next prime is 314044343204203. The reversal of 314044343204200 is 2402343440413.

It is not an unprimeable number, because it can be changed into a prime (314044343204203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 661936269 + ... + 662410531.

It is an arithmetic number, because the mean of its divisors is an integer number (4366548648000).

Almost surely, 2^{314044343204200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314044343204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419188670208000).

314044343204200 is an abundant number, since it is smaller than the sum of its proper divisors (524332997211800).

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

314044343204200 is a wasteful number, since it uses less digits than its factorization.

314044343204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476504 (or 476495 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 314044343204200 its reverse (2402343440413), we get a palindrome (316446686644613).

The spelling of 314044343204200 in words is "three hundred fourteen trillion, forty-four billion, three hundred forty-three million, two hundred four thousand, two hundred".