24134242240000 has 400 divisors, whose sum is σ = 63030817456992. Its totient is φ = 9211428864000.

The previous prime is 24134242239997. The next prime is 24134242240001. The reversal of 24134242240000 is 4224243142.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×24134242240000³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24134242240001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3186876214 + ... + 3186883786.

Almost surely, 2^{24134242240000} is an apocalyptic number.

24134242240000 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 24134242240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31515408728496).

24134242240000 is an abundant number, since it is smaller than the sum of its proper divisors (38896575216992).

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

24134242240000 is an frugal number, since it uses more digits than its factorization.

24134242240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8067 (or 8036 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 24134242240000 its reverse (4224243142), we get a palindrome (24138466483142).

The spelling of 24134242240000 in words is "twenty-four trillion, one hundred thirty-four billion, two hundred forty-two million, two hundred forty thousand".