24104142000 has 240 divisors, whose sum is σ = 87307557792. Its totient is φ = 6427641600.

The previous prime is 24104141981. The next prime is 24104142001. The reversal of 24104142000 is 24140142.

24104142000 is a `hidden beast` number, since 241 + 0 + 4 + 1 + 420 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (24104142001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461202 + ... + 510798.

Almost surely, 2^24104142000 is an apocalyptic number.

24104142000 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 24104142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43653778896).

24104142000 is an abundant number, since it is smaller than the sum of its proper divisors (63203415792).

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

24104142000 is an equidigital number, since it uses as much as digits as its factorization.

24104142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49635 (or 49607 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 24104142000 its reverse (24140142), we get a palindrome (24128282142).

The spelling of 24104142000 in words is "twenty-four billion, one hundred four million, one hundred forty-two thousand".