242444321123420 has 96 divisors (see below), whose sum is σ = 549556888386240. Its totient is φ = 89312364564480.

The previous prime is 242444321123413. The next prime is 242444321123437. The reversal of 242444321123420 is 24321123444242.

242444321123420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354430130 + ... + 355113510.

It is an arithmetic number, because the mean of its divisors is an integer number (5724550920690).

Almost surely, 2^{242444321123420} is an apocalyptic number.

242444321123420 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 242444321123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274778444193120).

242444321123420 is an abundant number, since it is smaller than the sum of its proper divisors (307112567262820).

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

242444321123420 is a wasteful number, since it uses less digits than its factorization.

242444321123420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686535 (or 686533 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 242444321123420 its reverse (24321123444242), we get a palindrome (266765444567662).

The spelling of 242444321123420 in words is "two hundred forty-two trillion, four hundred forty-four billion, three hundred twenty-one million, one hundred twenty-three thousand, four hundred twenty".