321204421200340 has 24 divisors (see below), whose sum is σ = 674529710996232. Its totient is φ = 128481687246720.

The previous prime is 321204421200287. The next prime is 321204421200347. The reversal of 321204421200340 is 43002124402123.

It can be written as a sum of positive squares in 4 ways, for example, as 120107177072964 + 201097244127376 = 10959342^2 + 14180876^2 .

It is a super-3 number, since 3×321204421200340³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 321204421200299 and 321204421200308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321204421200347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35101702 + ... + 43295938.

It is an arithmetic number, because the mean of its divisors is an integer number (28105404624843).

Almost surely, 2^{321204421200340} is an apocalyptic number.

It is an amenable number.

321204421200340 is an abundant number, since it is smaller than the sum of its proper divisors (353325289795892).

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

321204421200340 is a wasteful number, since it uses less digits than its factorization.

321204421200340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10154187 (or 10154185 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 321204421200340 its reverse (43002124402123), we get a palindrome (364206545602463).

The spelling of 321204421200340 in words is "three hundred twenty-one trillion, two hundred four billion, four hundred twenty-one million, two hundred thousand, three hundred forty".