242011135440 has 240 divisors, whose sum is σ = 849673438848. Its totient is φ = 61615217664.

The previous prime is 242011135391. The next prime is 242011135447. The reversal of 242011135440 is 44531110242.

242011135440 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 1 + 113 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×242011135440³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242011135447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9044962 + ... + 9071678.

Almost surely, 2^242011135440 is an apocalyptic number.

242011135440 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 242011135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424836719424).

242011135440 is an abundant number, since it is smaller than the sum of its proper divisors (607662303408).

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

242011135440 is a wasteful number, since it uses less digits than its factorization.

242011135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27306 (or 27297 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 242011135440 its reverse (44531110242), we get a palindrome (286542245682).

The spelling of 242011135440 in words is "two hundred forty-two billion, eleven million, one hundred thirty-five thousand, four hundred forty".