322381866240 has 2160 divisors, whose sum is σ = 1461625482240. Its totient is φ = 67443425280.

The previous prime is 322381866211. The next prime is 322381866259. The reversal of 322381866240 is 42668183223.

322381866240 is a `hidden beast` number, since 3 + 2 + 2 + 3 + 8 + 18 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3622268116 + ... + 3622268204.

It is an arithmetic number, because the mean of its divisors is an integer number (676678464).

Almost surely, 2^322381866240 is an apocalyptic number.

322381866240 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 322381866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730812741120).

322381866240 is an abundant number, since it is smaller than the sum of its proper divisors (1139243616000).

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

322381866240 is a wasteful number, since it uses less digits than its factorization.

322381866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 322381866240 in words is "three hundred twenty-two billion, three hundred eighty-one million, eight hundred sixty-six thousand, two hundred forty".