321223234033040 has 160 divisors (see below), whose sum is σ = 783657662699520. Its totient is φ = 122308432330752.

The previous prime is 321223234033021. The next prime is 321223234033043. The reversal of 321223234033040 is 40330432322123.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 321223234032988 and 321223234033006.

It is not an unprimeable number, because it can be changed into a prime (321223234033043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353328176 + ... + 354236144.

It is an arithmetic number, because the mean of its divisors is an integer number (4897860391872).

Almost surely, 2^{321223234033040} 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 321223234033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391828831349760).

321223234033040 is an abundant number, since it is smaller than the sum of its proper divisors (462434428666480).

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

321223234033040 is a wasteful number, since it uses less digits than its factorization.

321223234033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910609 (or 910603 counting only the distinct ones).

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

Adding to 321223234033040 its reverse (40330432322123), we get a palindrome (361553666355163).

The spelling of 321223234033040 in words is "three hundred twenty-one trillion, two hundred twenty-three billion, two hundred thirty-four million, thirty-three thousand, forty".