322123051243040 has 192 divisors, whose sum is σ = 785261227484160. Its totient is φ = 124806450462720.

The previous prime is 322123051243039. The next prime is 322123051243043. The reversal of 322123051243040 is 40342150321223.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 322123051242988 and 322123051243006.

It is not an unprimeable number, because it can be changed into a prime (322123051243043) by changing a digit.

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, 13516963925 + ... + 13516987755.

It is an arithmetic number, because the mean of its divisors is an integer number (4089902226480).

Almost surely, 2^{322123051243040} 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 322123051243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392630613742080).

322123051243040 is an abundant number, since it is smaller than the sum of its proper divisors (463138176241120).

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

322123051243040 is a wasteful number, since it uses less digits than its factorization.

322123051243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44155 (or 44147 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 322123051243040 in words is "three hundred twenty-two trillion, one hundred twenty-three billion, fifty-one million, two hundred forty-three thousand, forty".