240221333220 has 192 divisors, whose sum is σ = 777841698816. Its totient is φ = 54745528320.

The previous prime is 240221333213. The next prime is 240221333227. The reversal of 240221333220 is 22333122042.

240221333220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240221333213) and next prime (240221333227).

It is not an unprimeable number, because it can be changed into a prime (240221333227) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9895137 + ... + 9919383.

It is an arithmetic number, because the mean of its divisors is an integer number (4051258848).

Almost surely, 2^240221333220 is an apocalyptic number.

240221333220 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 240221333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388920849408).

240221333220 is an abundant number, since it is smaller than the sum of its proper divisors (537620365596).

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

240221333220 is a wasteful number, since it uses less digits than its factorization.

240221333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25170 (or 25168 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 240221333220 its reverse (22333122042), we get a palindrome (262554455262).

The spelling of 240221333220 in words is "two hundred forty billion, two hundred twenty-one million, three hundred thirty-three thousand, two hundred twenty".