24340140000 has 720 divisors, whose sum is σ = 99476657280. Its totient is φ = 5581440000.

The previous prime is 24340139987. The next prime is 24340140049. The reversal of 24340140000 is 4104342.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37619677 + ... + 37620323.

It is an arithmetic number, because the mean of its divisors is an integer number (138162024).

Almost surely, 2^24340140000 is an apocalyptic number.

24340140000 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 24340140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49738328640).

24340140000 is an abundant number, since it is smaller than the sum of its proper divisors (75136517280).

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

24340140000 is a wasteful number, since it uses less digits than its factorization.

24340140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 24340140000 its reverse (4104342), we get a palindrome (24344244342).

The spelling of 24340140000 in words is "twenty-four billion, three hundred forty million, one hundred forty thousand".