314014014342400 has 108 divisors (see below), whose sum is σ = 777785393353500. Its totient is φ = 125516456919040.

The previous prime is 314014014342361. The next prime is 314014014342433. The reversal of 314014014342400 is 4243410410413.

It can be written as a sum of positive squares in 6 ways, for example, as 169755466392576 + 144258547949824 = 13029024^2 + 12010768^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8393575 + ... + 26428774.

It is an arithmetic number, because the mean of its divisors is an integer number (7201716605125).

Almost surely, 2^{314014014342400} is an apocalyptic number.

It is an amenable number.

314014014342400 is an abundant number, since it is smaller than the sum of its proper divisors (463771379011100).

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

314014014342400 is a wasteful number, since it uses less digits than its factorization.

314014014342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34823784 (or 34823765 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 314014014342400 its reverse (4243410410413), we get a palindrome (318257424752813).

The spelling of 314014014342400 in words is "three hundred fourteen trillion, fourteen billion, fourteen million, three hundred forty-two thousand, four hundred".