322140564540 has 192 divisors, whose sum is σ = 1036831501440. Its totient is φ = 82978560000.

The previous prime is 322140564539. The next prime is 322140564563. The reversal of 322140564540 is 45465041223.

322140564540 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 4 + 0 + 5 + 645 + 4 + 0 = 666.

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 = 322140564495 and 322140564504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2164110 + ... + 2308170.

It is an arithmetic number, because the mean of its divisors is an integer number (5400164070).

Almost surely, 2^322140564540 is an apocalyptic number.

322140564540 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 322140564540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518415750720).

322140564540 is an abundant number, since it is smaller than the sum of its proper divisors (714690936900).

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

322140564540 is a wasteful number, since it uses less digits than its factorization.

322140564540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144221 (or 144213 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 322140564540 in words is "three hundred twenty-two billion, one hundred forty million, five hundred sixty-four thousand, five hundred forty".