314400340127 has 2 divisors, whose sum is σ = 314400340128. Its totient is φ = 314400340126.

The previous prime is 314400340081. The next prime is 314400340129. The reversal of 314400340127 is 721043004413.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 314400340127 - 2³⁰ = 313326598303 is a prime.

It is a super-2 number, since 2×314400340127² (a number of 24 digits) contains 22 as substring.

Together with 314400340129, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314400340127.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314400340129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157200170063 + 157200170064.

It is an arithmetic number, because the mean of its divisors is an integer number (157200170064).

Almost surely, 2^314400340127 is an apocalyptic number.

314400340127 is a deficient number, since it is larger than the sum of its proper divisors (1).

314400340127 is an equidigital number, since it uses as much as digits as its factorization.

314400340127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 29.

The spelling of 314400340127 in words is "three hundred fourteen billion, four hundred million, three hundred forty thousand, one hundred twenty-seven".