24145124040 has 192 divisors, whose sum is σ = 81379584000. Its totient is φ = 6203506176.

The previous prime is 24145124009. The next prime is 24145124041. The reversal of 24145124040 is 4042154142.

24145124040 is a `hidden beast` number, since 2 + 414 + 5 + 1 + 240 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 24145123995 and 24145124013.

It is not an unprimeable number, because it can be changed into a prime (24145124041) 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, 1363161 + ... + 1380759.

It is an arithmetic number, because the mean of its divisors is an integer number (423852000).

Almost surely, 2^24145124040 is an apocalyptic number.

24145124040 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 24145124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40689792000).

24145124040 is an abundant number, since it is smaller than the sum of its proper divisors (57234459960).

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

24145124040 is a wasteful number, since it uses less digits than its factorization.

24145124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17756 (or 17749 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 24145124040 its reverse (4042154142), we get a palindrome (28187278182).

The spelling of 24145124040 in words is "twenty-four billion, one hundred forty-five million, one hundred twenty-four thousand, forty".