242105472000 has 792 divisors, whose sum is σ = 1015121301480. Its totient is φ = 55325491200.

The previous prime is 242105471999. The next prime is 242105472019. The reversal of 242105472000 is 274501242.

242105472000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 796594176 + 241308877824 = 28224^2 + 491232^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56445856 + ... + 56450144.

It is an arithmetic number, because the mean of its divisors is an integer number (1281718815).

Almost surely, 2^242105472000 is an apocalyptic number.

242105472000 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 242105472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507560650740).

242105472000 is an abundant number, since it is smaller than the sum of its proper divisors (773015829480).

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

242105472000 is a wasteful number, since it uses less digits than its factorization.

242105472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 242105472000 its reverse (274501242), we get a palindrome (242379973242).

The spelling of 242105472000 in words is "two hundred forty-two billion, one hundred five million, four hundred seventy-two thousand".