322353123840 has 960 divisors, whose sum is σ = 1282321497600. Its totient is φ = 74111385600.

The previous prime is 322353123821. The next prime is 322353123863. The reversal of 322353123840 is 48321353223.

322353123840 is a `hidden beast` number, since 3 + 2 + 23 + 531 + 23 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 322353123795 and 322353123804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 448335001 + ... + 448335719.

It is an arithmetic number, because the mean of its divisors is an integer number (1335751560).

Almost surely, 2^322353123840 is an apocalyptic number.

322353123840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322353123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641160748800).

322353123840 is an abundant number, since it is smaller than the sum of its proper divisors (959968373760).

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

322353123840 is a wasteful number, since it uses less digits than its factorization.

322353123840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 322353123840 in words is "three hundred twenty-two billion, three hundred fifty-three million, one hundred twenty-three thousand, eight hundred forty".