24138387840 has 768 divisors, whose sum is σ = 94036101120. Its totient is φ = 5246631936.

The previous prime is 24138387811. The next prime is 24138387841. The reversal of 24138387840 is 4878383142.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 24138387840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24138387841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234353229 + ... + 234353331.

It is an arithmetic number, because the mean of its divisors is an integer number (122442840).

Almost surely, 2^24138387840 is an apocalyptic number.

24138387840 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 24138387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47018050560).

24138387840 is an abundant number, since it is smaller than the sum of its proper divisors (69897713280).

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

24138387840 is a wasteful number, since it uses less digits than its factorization.

24138387840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 24138387840 in words is "twenty-four billion, one hundred thirty-eight million, three hundred eighty-seven thousand, eight hundred forty".