24138608040 has 256 divisors, whose sum is σ = 85567104000. Its totient is φ = 6031872000.

The previous prime is 24138607979. The next prime is 24138608147. The reversal of 24138608040 is 4080683142.

24138608040 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 8 + 608 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 24138607986 and 24138608004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4385290 + ... + 4390790.

It is an arithmetic number, because the mean of its divisors is an integer number (334246500).

Almost surely, 2^24138608040 is an apocalyptic number.

24138608040 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 24138608040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42783552000).

24138608040 is an abundant number, since it is smaller than the sum of its proper divisors (61428495960).

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

24138608040 is a wasteful number, since it uses less digits than its factorization.

24138608040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777 (or 5767 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 24138608040 in words is "twenty-four billion, one hundred thirty-eight million, six hundred eight thousand, forty".