24112100040 has 128 divisors (see below), whose sum is σ = 82909301760. Its totient is φ = 5495387904.

The previous prime is 24112100027. The next prime is 24112100063. The reversal of 24112100040 is 4000121142.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 24112099992 and 24112100019.

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 31 ways as a sum of consecutive naturals, for example, 250119 + ... + 332841.

It is an arithmetic number, because the mean of its divisors is an integer number (647728920).

Almost surely, 2^24112100040 is an apocalyptic number.

24112100040 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 24112100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41454650880).

24112100040 is an abundant number, since it is smaller than the sum of its proper divisors (58797201720).

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

24112100040 is a wasteful number, since it uses less digits than its factorization.

24112100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83091 (or 83087 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 24112100040 its reverse (4000121142), we get a palindrome (28112221182).

The spelling of 24112100040 in words is "twenty-four billion, one hundred twelve million, one hundred thousand, forty".