242321030002040 has 256 divisors, whose sum is σ = 642748819507200. Its totient is φ = 81266985676800.

The previous prime is 242321030002001. The next prime is 242321030002043. The reversal of 242321030002040 is 40200030123242.

It is a junction number, because it is equal to n+sod(n) for n = 242321030001997 and 242321030002015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242321030002043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157934414 + ... + 159461346.

It is an arithmetic number, because the mean of its divisors is an integer number (2510737576200).

Almost surely, 2^{242321030002040} is an apocalyptic number.

242321030002040 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 242321030002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321374409753600).

242321030002040 is an abundant number, since it is smaller than the sum of its proper divisors (400427789505160).

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

242321030002040 is a wasteful number, since it uses less digits than its factorization.

242321030002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527478 (or 1527474 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 242321030002040 its reverse (40200030123242), we get a palindrome (282521060125282).

The spelling of 242321030002040 in words is "two hundred forty-two trillion, three hundred twenty-one billion, thirty million, two thousand, forty".