240442122420 has 144 divisors (see below), whose sum is σ = 773765712720. Its totient is φ = 60227309568.

The previous prime is 240442122391. The next prime is 240442122443. The reversal of 240442122420 is 24221244042.

240442122420 is a `hidden beast` number, since 2 + 404 + 4 + 2 + 12 + 242 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2335208976 + 238106913444 = 48324^2 + 487962^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1480354 + ... + 1634726.

It is an arithmetic number, because the mean of its divisors is an integer number (5373373005).

Almost surely, 2^240442122420 is an apocalyptic number.

240442122420 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 240442122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386882856360).

240442122420 is an abundant number, since it is smaller than the sum of its proper divisors (533323590300).

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

240442122420 is a wasteful number, since it uses less digits than its factorization.

240442122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154914 (or 154909 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 240442122420 its reverse (24221244042), we get a palindrome (264663366462).

The spelling of 240442122420 in words is "two hundred forty billion, four hundred forty-two million, one hundred twenty-two thousand, four hundred twenty".