321343121440 has 96 divisors (see below), whose sum is σ = 828441432000. Its totient is φ = 116816409600.

The previous prime is 321343121417. The next prime is 321343121443. The reversal of 321343121440 is 44121343123.

It is a happy number.

It is a super-2 number, since 2×321343121440² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321343121399 and 321343121408.

It is not an unprimeable number, because it can be changed into a prime (321343121443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6132150 + ... + 6184330.

It is an arithmetic number, because the mean of its divisors is an integer number (8629598250).

Almost surely, 2^321343121440 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 321343121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414220716000).

321343121440 is an abundant number, since it is smaller than the sum of its proper divisors (507098310560).

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

321343121440 is a wasteful number, since it uses less digits than its factorization.

321343121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55706 (or 55698 counting only the distinct ones).

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

Adding to 321343121440 its reverse (44121343123), we get a palindrome (365464464563).

The spelling of 321343121440 in words is "three hundred twenty-one billion, three hundred forty-three million, one hundred twenty-one thousand, four hundred forty".