24042000040 has 64 divisors (see below), whose sum is σ = 55425965760. Its totient is φ = 9380689920.

The previous prime is 24041999983. The next prime is 24042000043. The reversal of 24042000040 is 4000024042.

It is a junction number, because it is equal to n+sod(n) for n = 24041999978 and 24042000023.

It is not an unprimeable number, because it can be changed into a prime (24042000043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1344760 + ... + 1362520.

It is an arithmetic number, because the mean of its divisors is an integer number (866030715).

Almost surely, 2^24042000040 is an apocalyptic number.

24042000040 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 24042000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27712982880).

24042000040 is an abundant number, since it is smaller than the sum of its proper divisors (31383965720).

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

24042000040 is a wasteful number, since it uses less digits than its factorization.

24042000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18602 (or 18598 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 24042000040 its reverse (4000024042), we get a palindrome (28042024082).

The spelling of 24042000040 in words is "twenty-four billion, forty-two million, forty", and thus it is an aban number.