32280805824400 has 135 divisors (see below), whose sum is σ = 90218840449521. Its totient is φ = 11067432136320.

The previous prime is 32280805824383. The next prime is 32280805824401. The reversal of 32280805824400 is 442850808223.

The square root of 32280805824400 is 5681620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11621090096784 + 20659715727616 = 3408972^2 + 4545296^2 .

It is not an unprimeable number, because it can be changed into a prime (32280805824401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 795406509 + ... + 795447091.

Almost surely, 2^{32280805824400} is an apocalyptic number.

32280805824400 is the 5681620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32280805824400

32280805824400 is an abundant number, since it is smaller than the sum of its proper divisors (57938034625121).

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

32280805824400 is an frugal number, since it uses more digits than its factorization.

32280805824400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81198 (or 40597 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 46.

The spelling of 32280805824400 in words is "thirty-two trillion, two hundred eighty billion, eight hundred five million, eight hundred twenty-four thousand, four hundred".