321404424311320 has 256 divisors, whose sum is σ = 867332987136000. Its totient is φ = 104802150875136.

The previous prime is 321404424311309. The next prime is 321404424311323. The reversal of 321404424311320 is 23113424404123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321404424311323) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 12649222776 + ... + 12649248184.

It is an arithmetic number, because the mean of its divisors is an integer number (3388019481000).

Almost surely, 2^{321404424311320} 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 321404424311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433666493568000).

321404424311320 is an abundant number, since it is smaller than the sum of its proper divisors (545928562824680).

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

321404424311320 is a wasteful number, since it uses less digits than its factorization.

321404424311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36602 (or 36598 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 321404424311320 its reverse (23113424404123), we get a palindrome (344517848715443).

The spelling of 321404424311320 in words is "three hundred twenty-one trillion, four hundred four billion, four hundred twenty-four million, three hundred eleven thousand, three hundred twenty".