322134401000 has 64 divisors (see below), whose sum is σ = 755733186000. Its totient is φ = 128522361600.

The previous prime is 322134400981. The next prime is 322134401009. The reversal of 322134401000 is 104431223.

It can be written as a sum of positive squares in 8 ways, for example, as 56037305284 + 266097095716 = 236722^2 + 515846^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (322134401009) 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 15 ways as a sum of consecutive naturals, for example, 25055 + ... + 803054.

Almost surely, 2^322134401000 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 322134401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377866593000).

322134401000 is an abundant number, since it is smaller than the sum of its proper divisors (433598785000).

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

322134401000 is a wasteful number, since it uses less digits than its factorization.

322134401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828519 (or 828505 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 322134401000 its reverse (104431223), we get a palindrome (322238832223).

The spelling of 322134401000 in words is "three hundred twenty-two billion, one hundred thirty-four million, four hundred one thousand".