321414314200340 has 12 divisors (see below), whose sum is σ = 674970059820756. Its totient is φ = 128565725680128.

The previous prime is 321414314200337. The next prime is 321414314200351. The reversal of 321414314200340 is 43002413414123.

It can be written as a sum of positive squares in 2 ways, for example, as 226776010919056 + 94638303281284 = 15059084^2 + 9728222^2 .

It is a super-2 number, since 2×321414314200340² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321414314200297 and 321414314200306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8035357854989 + ... + 8035357855028.

It is an arithmetic number, because the mean of its divisors is an integer number (56247504985063).

Almost surely, 2^{321414314200340} is an apocalyptic number.

It is an amenable number.

321414314200340 is an abundant number, since it is smaller than the sum of its proper divisors (353555745620416).

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

321414314200340 is a wasteful number, since it uses less digits than its factorization.

321414314200340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16070715710026 (or 16070715710024 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 321414314200340 its reverse (43002413414123), we get a palindrome (364416727614463).

The spelling of 321414314200340 in words is "three hundred twenty-one trillion, four hundred fourteen billion, three hundred fourteen million, two hundred thousand, three hundred forty".