322723102240 has 768 divisors, whose sum is σ = 1006774272000. Its totient is φ = 96864768000.

The previous prime is 322723102223. The next prime is 322723102253. The reversal of 322723102240 is 42201327223.

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 = 322723102199 and 322723102208.

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 127 ways as a sum of consecutive naturals, for example, 3195278190 + ... + 3195278290.

It is an arithmetic number, because the mean of its divisors is an integer number (1310904000).

Almost surely, 2^322723102240 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 322723102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503387136000).

322723102240 is an abundant number, since it is smaller than the sum of its proper divisors (684051169760).

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

322723102240 is a wasteful number, since it uses less digits than its factorization.

322723102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

Adding to 322723102240 its reverse (42201327223), we get a palindrome (364924429463).

The spelling of 322723102240 in words is "three hundred twenty-two billion, seven hundred twenty-three million, one hundred two thousand, two hundred forty".