242122432042040 has 128 divisors (see below), whose sum is σ = 614813900702400. Its totient is φ = 85005700792320.

The previous prime is 242122432042021. The next prime is 242122432042103. The reversal of 242122432042040 is 40240234221242.

It is a junction number, because it is equal to n+sod(n) for n = 242122432041988 and 242122432042006.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 407678744 + ... + 408272216.

Almost surely, 2^{242122432042040} is an apocalyptic number.

242122432042040 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 242122432042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307406950351200).

242122432042040 is an abundant number, since it is smaller than the sum of its proper divisors (372691468660360).

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

242122432042040 is a wasteful number, since it uses less digits than its factorization.

242122432042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625497 (or 625493 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 242122432042040 its reverse (40240234221242), we get a palindrome (282362666263282).

The spelling of 242122432042040 in words is "two hundred forty-two trillion, one hundred twenty-two billion, four hundred thirty-two million, forty-two thousand, forty".