314340022000 has 80 divisors (see below), whose sum is σ = 765108512064. Its totient is φ = 124903200000.

The previous prime is 314340021991. The next prime is 314340022001. The reversal of 314340022000 is 220043413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314340022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218431 + ... + 822430.

Almost surely, 2^314340022000 is an apocalyptic number.

It is an amenable number.

314340022000 is an abundant number, since it is smaller than the sum of its proper divisors (450768490064).

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

314340022000 is a wasteful number, since it uses less digits than its factorization.

314340022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041035 (or 1041019 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 314340022000 its reverse (220043413), we get a palindrome (314560065413).

The spelling of 314340022000 in words is "three hundred fourteen billion, three hundred forty million, twenty-two thousand".