242224040420 has 24 divisors (see below), whose sum is σ = 515638576824. Its totient is φ = 95562360576.

The previous prime is 242224040369. The next prime is 242224040459. The reversal of 242224040420 is 24040422242.

242224040420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14681684224 + 227542356196 = 121168^2 + 477014^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242224040420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82951979 + ... + 82954898.

It is an arithmetic number, because the mean of its divisors is an integer number (21484940701).

Almost surely, 2^242224040420 is an apocalyptic number.

242224040420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242224040420 is an abundant number, since it is smaller than the sum of its proper divisors (273414536404).

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

242224040420 is a wasteful number, since it uses less digits than its factorization.

242224040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165906959 (or 165906957 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 242224040420 its reverse (24040422242), we get a palindrome (266264462662).

The spelling of 242224040420 in words is "two hundred forty-two billion, two hundred twenty-four million, forty thousand, four hundred twenty".