322270074400 has 144 divisors (see below), whose sum is σ = 837842015304. Its totient is φ = 120623022080.

The previous prime is 322270074341. The next prime is 322270074403. The reversal of 322270074400 is 4470072223.

It can be written as a sum of positive squares in 12 ways, for example, as 172819792656 + 149450281744 = 415716^2 + 386588^2 .

It is not an unprimeable number, because it can be changed into a prime (322270074403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2284314 + ... + 2421286.

Almost surely, 2^322270074400 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 322270074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418921007652).

322270074400 is an abundant number, since it is smaller than the sum of its proper divisors (515571940904).

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

322270074400 is a wasteful number, since it uses less digits than its factorization.

322270074400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137183 (or 137170 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 31.

The spelling of 322270074400 in words is "three hundred twenty-two billion, two hundred seventy million, seventy-four thousand, four hundred".