242140434400 has 144 divisors (see below), whose sum is σ = 594353833920. Its totient is φ = 96328857600.

The previous prime is 242140434317. The next prime is 242140434421. The reversal of 242140434400 is 4434041242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135348706 + ... + 135350494.

It is an arithmetic number, because the mean of its divisors is an integer number (4127457180).

Almost surely, 2^242140434400 is an apocalyptic number.

242140434400 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 242140434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297176916960).

242140434400 is an abundant number, since it is smaller than the sum of its proper divisors (352213399520).

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

242140434400 is a wasteful number, since it uses less digits than its factorization.

242140434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 242140434400 its reverse (4434041242), we get a palindrome (246574475642).

The spelling of 242140434400 in words is "two hundred forty-two billion, one hundred forty million, four hundred thirty-four thousand, four hundred".