24138324000 has 960 divisors, whose sum is σ = 105029084160. Its totient is φ = 5312563200.

The previous prime is 24138323999. The next prime is 24138324013. The reversal of 24138324000 is 42383142.

24138324000 is a `hidden beast` number, since 2 + 41 + 383 + 240 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 65771817 + ... + 65772183.

It is an arithmetic number, because the mean of its divisors is an integer number (109405296).

Almost surely, 2^24138324000 is an apocalyptic number.

24138324000 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 24138324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52514542080).

24138324000 is an abundant number, since it is smaller than the sum of its proper divisors (80890760160).

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

24138324000 is a wasteful number, since it uses less digits than its factorization.

24138324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 24138324000 in words is "twenty-four billion, one hundred thirty-eight million, three hundred twenty-four thousand".