24134064130000 has 200 divisors, whose sum is σ = 64374037538976. Its totient is φ = 8689128000000.

The previous prime is 24134064129979. The next prime is 24134064130073. The reversal of 24134064130000 is 3146043142.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10023859 + ... + 12196141.

Almost surely, 2^{24134064130000} is an apocalyptic number.

24134064130000 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 24134064130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32187018769488).

24134064130000 is an abundant number, since it is smaller than the sum of its proper divisors (40239973408976).

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

24134064130000 is a wasteful number, since it uses less digits than its factorization.

24134064130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172423 (or 2172402 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 24134064130000 in words is "twenty-four trillion, one hundred thirty-four billion, sixty-four million, one hundred thirty thousand".