321234322330040 has 128 divisors (see below), whose sum is σ = 840294562705920. Its totient is φ = 108238794048000.

The previous prime is 321234322330039. The next prime is 321234322330079. The reversal of 321234322330040 is 40033223432123.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 321234322329979 and 321234322330006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11778215 + ... + 27949865.

It is an arithmetic number, because the mean of its divisors is an integer number (6564801271140).

Almost surely, 2^{321234322330040} 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 321234322330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420147281352960).

321234322330040 is an abundant number, since it is smaller than the sum of its proper divisors (519060240375880).

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

321234322330040 is a wasteful number, since it uses less digits than its factorization.

321234322330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16172893 (or 16172889 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 321234322330040 its reverse (40033223432123), we get a palindrome (361267545762163).

The spelling of 321234322330040 in words is "three hundred twenty-one trillion, two hundred thirty-four billion, three hundred twenty-two million, three hundred thirty thousand, forty".