322132233124040 has 256 divisors, whose sum is σ = 836732318976000. Its totient is φ = 110977111203840.

The previous prime is 322132233123997. The next prime is 322132233124043. The reversal of 322132233124040 is 40421332231223.

It is a junction number, because it is equal to n+sod(n) for n = 322132233123988 and 322132233124006.

It is not an unprimeable number, because it can be changed into a prime (322132233124043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18908564 + ... + 31651196.

It is an arithmetic number, because the mean of its divisors is an integer number (3268485621000).

Almost surely, 2^{322132233124040} 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 322132233124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418366159488000).

322132233124040 is an abundant number, since it is smaller than the sum of its proper divisors (514600085851960).

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

322132233124040 is a wasteful number, since it uses less digits than its factorization.

322132233124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12742760 (or 12742756 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 322132233124040 its reverse (40421332231223), we get a palindrome (362553565355263).

The spelling of 322132233124040 in words is "three hundred twenty-two trillion, one hundred thirty-two billion, two hundred thirty-three million, one hundred twenty-four thousand, forty".