242440223520000 has 720 divisors, whose sum is σ = 896194586282688. Its totient is φ = 57664389120000.

The previous prime is 242440223519987. The next prime is 242440223520007. The reversal of 242440223520000 is 25322044242.

It is a super-2 number, since 2×242440223520000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 242440223520000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242440223520007) 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, 279406824 + ... + 280273176.

Almost surely, 2^{242440223520000} is an apocalyptic number.

242440223520000 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 242440223520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448097293141344).

242440223520000 is an abundant number, since it is smaller than the sum of its proper divisors (653754362762688).

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

242440223520000 is an equidigital number, since it uses as much as digits as its factorization.

242440223520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866456 (or 866427 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 242440223520000 its reverse (25322044242), we get a palindrome (242465545564242).

The spelling of 242440223520000 in words is "two hundred forty-two trillion, four hundred forty billion, two hundred twenty-three million, five hundred twenty thousand".