321411222300340 has 192 divisors, whose sum is σ = 724047370421760. Its totient is φ = 119555449896960.

The previous prime is 321411222300313. The next prime is 321411222300347. The reversal of 321411222300340 is 43003222114123.

It is a junction number, because it is equal to n+sod(n) for n = 321411222300299 and 321411222300308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321411222300347) 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 63 ways as a sum of consecutive naturals, for example, 19644953760 + ... + 19644970120.

It is an arithmetic number, because the mean of its divisors is an integer number (3771080054280).

Almost surely, 2^{321411222300340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321411222300340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362023685210880).

321411222300340 is an abundant number, since it is smaller than the sum of its proper divisors (402636148121420).

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

321411222300340 is a wasteful number, since it uses less digits than its factorization.

321411222300340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21002 (or 21000 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 321411222300340 its reverse (43003222114123), we get a palindrome (364414444414463).

The spelling of 321411222300340 in words is "three hundred twenty-one trillion, four hundred eleven billion, two hundred twenty-two million, three hundred thousand, three hundred forty".