32430222400 has 84 divisors (see below), whose sum is σ = 79957399140. Its totient is φ = 12946278400.

The previous prime is 32430222361. The next prime is 32430222403. The reversal of 32430222400 is 422203423.

It can be written as a sum of positive squares in 6 ways, for example, as 386358336 + 32043864064 = 19656^2 + 179008^2 .

It is not an unprimeable number, because it can be changed into a prime (32430222403) 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 11 ways as a sum of consecutive naturals, for example, 794490 + ... + 834310.

Almost surely, 2^32430222400 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 32430222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39978699570).

32430222400 is an abundant number, since it is smaller than the sum of its proper divisors (47527176740).

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

32430222400 is a wasteful number, since it uses less digits than its factorization.

32430222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40352 (or 40337 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 32430222400 its reverse (422203423), we get a palindrome (32852425823).

The spelling of 32430222400 in words is "thirty-two billion, four hundred thirty million, two hundred twenty-two thousand, four hundred".