221505440000 has 360 divisors, whose sum is σ = 601078936920. Its totient is φ = 80953344000.

The previous prime is 221505439999. The next prime is 221505440017. The reversal of 221505440000 is 44505122.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 204680237056 + 16825202944 = 452416^2 + 129712^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 226719512 + ... + 226720488.

Almost surely, 2^221505440000 is an apocalyptic number.

221505440000 is a gapful number since it is divisible by the number (20) 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 221505440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300539468460).

221505440000 is an abundant number, since it is smaller than the sum of its proper divisors (379573496920).

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

221505440000 is an equidigital number, since it uses as much as digits as its factorization.

221505440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

Adding to 221505440000 its reverse (44505122), we get a palindrome (221549945122).

The spelling of 221505440000 in words is "two hundred twenty-one billion, five hundred five million, four hundred forty thousand".