24240142440 has 48 divisors (see below), whose sum is σ = 78780464100. Its totient is φ = 6464037888.

The previous prime is 24240142379. The next prime is 24240142471. The reversal of 24240142440 is 4424104242.

24240142440 is a `hidden beast` number, since 2 + 42 + 40 + 142 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24124923684 + 115218756 = 155322^2 + 10734^2 .

It is a super-2 number, since 2×24240142440² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33666505 + ... + 33667224.

Almost surely, 2^24240142440 is an apocalyptic number.

24240142440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24240142440 is an abundant number, since it is smaller than the sum of its proper divisors (54540321660).

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

24240142440 is a wasteful number, since it uses less digits than its factorization.

24240142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67333746 (or 67333739 counting only the distinct ones).

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

Adding to 24240142440 its reverse (4424104242), we get a palindrome (28664246682).

The spelling of 24240142440 in words is "twenty-four billion, two hundred forty million, one hundred forty-two thousand, four hundred forty".