242341440000 has 800 divisors, whose sum is σ = 898775849664. Its totient is φ = 57507840000.

The previous prime is 242341439993. The next prime is 242341440001. The reversal of 242341440000 is 44143242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242341440001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 559679784 + ... + 559680216.

Almost surely, 2^242341440000 is an apocalyptic number.

242341440000 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 242341440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449387924832).

242341440000 is an abundant number, since it is smaller than the sum of its proper divisors (656434409664).

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

242341440000 is an equidigital number, since it uses as much as digits as its factorization.

242341440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242341440000 its reverse (44143242), we get a palindrome (242385583242).

The spelling of 242341440000 in words is "two hundred forty-two billion, three hundred forty-one million, four hundred forty thousand".