242220443140 has 72 divisors (see below), whose sum is σ = 551109165768. Its totient is φ = 89385154560.

The previous prime is 242220443081. The next prime is 242220443177. The reversal of 242220443140 is 41344022242.

It can be written as a sum of positive squares in 12 ways, for example, as 148775289796 + 93445153344 = 385714^2 + 305688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242220443099 and 242220443108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6311610 + ... + 6349870.

It is an arithmetic number, because the mean of its divisors is an integer number (7654293969).

Almost surely, 2^242220443140 is an apocalyptic number.

242220443140 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 242220443140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275554582884).

242220443140 is an abundant number, since it is smaller than the sum of its proper divisors (308888722628).

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

242220443140 is a wasteful number, since it uses less digits than its factorization.

242220443140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40169 (or 40154 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 242220443140 its reverse (41344022242), we get a palindrome (283564465382).

The spelling of 242220443140 in words is "two hundred forty-two billion, two hundred twenty million, four hundred forty-three thousand, one hundred forty".