240081440 has 48 divisors (see below), whose sum is σ = 569345112. Its totient is φ = 95668224.

The previous prime is 240081437. The next prime is 240081469. The reversal of 240081440 is 44180042.

It can be written as a sum of positive squares in 4 ways, for example, as 95023504 + 145057936 = 9748^2 + 12044^2 .

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 7 ways as a sum of consecutive naturals, for example, 41612 + ... + 47028.

Almost surely, 2^240081440 is an apocalyptic number.

240081440 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 240081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284672556).

240081440 is an abundant number, since it is smaller than the sum of its proper divisors (329263672).

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

240081440 is a wasteful number, since it uses less digits than its factorization.

240081440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5709 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 240081440 is about 15494.5616265837. The cubic root of 240081440 is about 621.5167857457.

The spelling of 240081440 in words is "two hundred forty million, eighty-one thousand, four hundred forty".