32400342221200 has 180 divisors, whose sum is σ = 83822864721100. Its totient is φ = 12030679941120.

The previous prime is 32400342221171. The next prime is 32400342221231. The reversal of 32400342221200 is 212224300423.

It can be written as a sum of positive squares in 18 ways, for example, as 2349377741824 + 30050964479376 = 1532768^2 + 5481876^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6519076 + ... + 10358524.

Almost surely, 2^{32400342221200} 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 32400342221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41911432360550).

32400342221200 is an abundant number, since it is smaller than the sum of its proper divisors (51422522499900).

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

32400342221200 is a wasteful number, since it uses less digits than its factorization.

32400342221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839574 (or 3839546 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 32400342221200 its reverse (212224300423), we get a palindrome (32612566521623).

The spelling of 32400342221200 in words is "thirty-two trillion, four hundred billion, three hundred forty-two million, two hundred twenty-one thousand, two hundred".