322400431200 has 144 divisors (see below), whose sum is σ = 1049922956880. Its totient is φ = 85931704320.

The previous prime is 322400431187. The next prime is 322400431247. The reversal of 322400431200 is 2134004223.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5078052 + ... + 5141148.

It is an arithmetic number, because the mean of its divisors is an integer number (7291131645).

Almost surely, 2^322400431200 is an apocalyptic number.

322400431200 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 322400431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524961478440).

322400431200 is an abundant number, since it is smaller than the sum of its proper divisors (727522525680).

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

322400431200 is a wasteful number, since it uses less digits than its factorization.

322400431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65249 (or 65236 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 322400431200 its reverse (2134004223), we get a palindrome (324534435423).

The spelling of 322400431200 in words is "three hundred twenty-two billion, four hundred million, four hundred thirty-one thousand, two hundred".