242440020000 has 960 divisors, whose sum is σ = 925898117760. Its totient is φ = 61641216000.

The previous prime is 242440019989. The next prime is 242440020029. The reversal of 242440020000 is 20044242.

242440020000 is a `hidden beast` number, since 2 + 424 + 40 + 0 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1230659902 + ... + 1230660098.

It is an arithmetic number, because the mean of its divisors is an integer number (964477206).

Almost surely, 2^242440020000 is an apocalyptic number.

242440020000 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 242440020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462949058880).

242440020000 is an abundant number, since it is smaller than the sum of its proper divisors (683458097760).

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

242440020000 is a wasteful number, since it uses less digits than its factorization.

242440020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 242440020000 its reverse (20044242), we get a palindrome (242460064242).

The spelling of 242440020000 in words is "two hundred forty-two billion, four hundred forty million, twenty thousand".