321042222013240 has 256 divisors, whose sum is σ = 898694818560000. Its totient is φ = 100504277452800.

The previous prime is 321042222013231. The next prime is 321042222013241. The reversal of 321042222013240 is 42310222240123.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 321042222013199 and 321042222013208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321042222013241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236983815 + ... + 238334665.

It is an arithmetic number, because the mean of its divisors is an integer number (3510526635000).

Almost surely, 2^{321042222013240} 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 321042222013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449347409280000).

321042222013240 is an abundant number, since it is smaller than the sum of its proper divisors (577652596546760).

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

321042222013240 is a wasteful number, since it uses less digits than its factorization.

321042222013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351590 (or 1351586 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 321042222013240 its reverse (42310222240123), we get a palindrome (363352444253363).

The spelling of 321042222013240 in words is "three hundred twenty-one trillion, forty-two billion, two hundred twenty-two million, thirteen thousand, two hundred forty".