314401443020200 has 192 divisors, whose sum is σ = 807785902143360. Its totient is φ = 113195358904320.

The previous prime is 314401443020123. The next prime is 314401443020257. The reversal of 314401443020200 is 2020344104413.

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, 417759444 + ... + 418511356.

It is an arithmetic number, because the mean of its divisors is an integer number (4207218240330).

Almost surely, 2^{314401443020200} 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 314401443020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403892951071680).

314401443020200 is an abundant number, since it is smaller than the sum of its proper divisors (493384459123160).

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

314401443020200 is a wasteful number, since it uses less digits than its factorization.

314401443020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757316 (or 757307 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 314401443020200 its reverse (2020344104413), we get a palindrome (316421787124613).

The spelling of 314401443020200 in words is "three hundred fourteen trillion, four hundred one billion, four hundred forty-three million, twenty thousand, two hundred".