24042010023240 has 256 divisors, whose sum is σ = 83322600480000. Its totient is φ = 5484780257280.

The previous prime is 24042010023137. The next prime is 24042010023263. The reversal of 24042010023240 is 4232001024042.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 24042010023240.

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, 175614336 + ... + 175751184.

It is an arithmetic number, because the mean of its divisors is an integer number (325478908125).

Almost surely, 2^{24042010023240} is an apocalyptic number.

24042010023240 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 24042010023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41661300240000).

24042010023240 is an abundant number, since it is smaller than the sum of its proper divisors (59280590456760).

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

24042010023240 is a wasteful number, since it uses less digits than its factorization.

24042010023240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144720 (or 144716 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 24042010023240 its reverse (4232001024042), we get a palindrome (28274011047282).

The spelling of 24042010023240 in words is "twenty-four trillion, forty-two billion, ten million, twenty-three thousand, two hundred forty".