24128000000 has 364 divisors, whose sum is σ = 67190936820. Its totient is φ = 8601600000.

The previous prime is 24127999979. The next prime is 24128000047. The reversal of 24128000000 is 82142.

It can be written as a sum of positive squares in 14 ways, for example, as 16236875776 + 7891124224 = 127424^2 + 88832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 831999986 + ... + 832000014.

Almost surely, 2^24128000000 is an apocalyptic number.

24128000000 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 24128000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33595468410).

24128000000 is an abundant number, since it is smaller than the sum of its proper divisors (43062936820).

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

24128000000 is an frugal number, since it uses more digits than its factorization.

24128000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 24128000000 its reverse (82142), we get a palindrome (24128082142).

The spelling of 24128000000 in words is "twenty-four billion, one hundred twenty-eight million", and thus it is an aban number.