240231313440 has 288 divisors, whose sum is σ = 825330398256. Its totient is φ = 63630213120.

The previous prime is 240231313429. The next prime is 240231313459. The reversal of 240231313440 is 44313132042.

240231313440 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 313 + 1 + 344 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 55788550416 + 184442763024 = 236196^2 + 429468^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×240231313440² (a number of 24 digits) contains 22 as substring.

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, 215067762 + ... + 215068878.

Almost surely, 2^240231313440 is an apocalyptic number.

240231313440 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 240231313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412665199128).

240231313440 is an abundant number, since it is smaller than the sum of its proper divisors (585099084816).

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

240231313440 is a wasteful number, since it uses less digits than its factorization.

240231313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 240231313440 its reverse (44313132042), we get a palindrome (284544445482).

The spelling of 240231313440 in words is "two hundred forty billion, two hundred thirty-one million, three hundred thirteen thousand, four hundred forty".