322419999842880 has 448 divisors, whose sum is σ = 1041480937486080. Its totient is φ = 84495517876224.

The previous prime is 322419999842869. The next prime is 322419999842911. The reversal of 322419999842880 is 88248999914223.

It is a junction number, because it is equal to n+sod(n) for n = 322419999842796 and 322419999842805.

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 63 ways as a sum of consecutive naturals, for example, 20292017976 + ... + 20292033864.

It is an arithmetic number, because the mean of its divisors is an integer number (2324734235460).

Almost surely, 2^{322419999842880} is an apocalyptic number.

322419999842880 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 322419999842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520740468743040).

322419999842880 is an abundant number, since it is smaller than the sum of its proper divisors (719060937643200).

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

322419999842880 is a wasteful number, since it uses less digits than its factorization.

322419999842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17318 (or 17308 counting only the distinct ones).

The product of its (nonzero) digits is 1289945088, while the sum is 78.

The spelling of 322419999842880 in words is "three hundred twenty-two trillion, four hundred nineteen billion, nine hundred ninety-nine million, eight hundred forty-two thousand, eight hundred eighty".