242242112031440 has 160 divisors (see below), whose sum is σ = 593906348275200. Its totient is φ = 91634427187200.

The previous prime is 242242112031419. The next prime is 242242112031443. The reversal of 242242112031440 is 44130211242242.

It is a junction number, because it is equal to n+sod(n) for n = 242242112031397 and 242242112031406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242242112031443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2964942590 + ... + 2965024290.

It is an arithmetic number, because the mean of its divisors is an integer number (3711914676720).

Almost surely, 2^{242242112031440} is an apocalyptic number.

242242112031440 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 242242112031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296953174137600).

242242112031440 is an abundant number, since it is smaller than the sum of its proper divisors (351664236243760).

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

242242112031440 is a wasteful number, since it uses less digits than its factorization.

242242112031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85165 (or 85159 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 242242112031440 its reverse (44130211242242), we get a palindrome (286372323273682).

The spelling of 242242112031440 in words is "two hundred forty-two trillion, two hundred forty-two billion, one hundred twelve million, thirty-one thousand, four hundred forty".