24240134120040 has 288 divisors, whose sum is σ = 80523114071400. Its totient is φ = 6323596231680.

The previous prime is 24240134120017. The next prime is 24240134120051. The reversal of 24240134120040 is 4002143104242.

24240134120040 is a `hidden beast` number, since 2 + 4 + 240 + 1 + 3 + 412 + 0 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16008273069156 + 8231861050884 = 4001034^2 + 2869122^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24240134119986 and 24240134120013.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 244847350 + ... + 244946330.

Almost surely, 2^{24240134120040} is an apocalyptic number.

24240134120040 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 24240134120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40261557035700).

24240134120040 is an abundant number, since it is smaller than the sum of its proper divisors (56282979951360).

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

24240134120040 is a wasteful number, since it uses less digits than its factorization.

24240134120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99265 (or 99179 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 24240134120040 its reverse (4002143104242), we get a palindrome (28242277224282).

The spelling of 24240134120040 in words is "twenty-four trillion, two hundred forty billion, one hundred thirty-four million, one hundred twenty thousand, forty".