321424323144340 has 72 divisors (see below), whose sum is σ = 730949898327768. Its totient is φ = 118672865625600.

The previous prime is 321424323144319. The next prime is 321424323144349. The reversal of 321424323144340 is 43441323424123.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 200997139603716 + 120427183540624 = 14177346^2 + 10973932^2 .

It is a junction number, because it is equal to n+sod(n) for n = 321424323144293 and 321424323144302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321424323144349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55700790 + ... + 61199890.

It is an arithmetic number, because the mean of its divisors is an integer number (10152081921219).

Almost surely, 2^{321424323144340} is an apocalyptic number.

It is an amenable number.

321424323144340 is an abundant number, since it is smaller than the sum of its proper divisors (409525575183428).

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

321424323144340 is a wasteful number, since it uses less digits than its factorization.

321424323144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516429 (or 5516414 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 321424323144340 its reverse (43441323424123), we get a palindrome (364865646568463).

The spelling of 321424323144340 in words is "three hundred twenty-one trillion, four hundred twenty-four billion, three hundred twenty-three million, one hundred forty-four thousand, three hundred forty".