242440040000 has 70 divisors (see below), whose sum is σ = 601172605374. Its totient is φ = 96976000000.

The previous prime is 242440039967. The next prime is 242440040009. The reversal of 242440040000 is 40044242.

242440040000 is digitally balanced in base 3, 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 5 ways, for example, as 71156629504 + 171283410496 = 266752^2 + 413864^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (242440040009) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 2990501 + ... + 3070500.

Almost surely, 2^242440040000 is an apocalyptic number.

242440040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242440040000 is an abundant number, since it is smaller than the sum of its proper divisors (358732565374).

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

242440040000 is an frugal number, since it uses more digits than its factorization.

242440040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6061033 (or 6061008 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 242440040000 its reverse (40044242), we get a palindrome (242480084242).

The spelling of 242440040000 in words is "two hundred forty-two billion, four hundred forty million, forty thousand".