240442151440 has 40 divisors (see below), whose sum is σ = 559066157208.
Its totient is φ = 96170296320.
The previous prime is 240442151419. The next prime is 240442151441. The reversal of 240442151440 is 44151244042.
Adding to 240442151440 its reverse (44151244042), we get a palindrome (284593395482).
240442151440 is digitally balanced in base 2, 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 143574303744 + 96867847696 = 378912^2 + 311236^2
It is a tau number, because it is divible by the number of its divisors (40).
It is not an unprimeable number, because it can be changed into a prime (240442151441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1175854 + ... + 1365106.
Almost surely, 2240442151440 is an apocalyptic number.
240442151440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
240442151440 is an abundant number, since it is smaller than the sum of its proper divisors (318624005768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240442151440 is a wasteful number, since it uses less digits than its factorization.
240442151440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 205147 (or 205141 counting only the distinct ones).
The product of its (nonzero) digits is 20480, while the sum is 31.
The spelling of 240442151440 in words is "two hundred forty billion, four hundred forty-two million, one hundred fifty-one thousand, four hundred forty".