24042416328 has 192 divisors, whose sum is σ = 81080419200. Its totient is φ = 6465070080.

The previous prime is 24042416309. The next prime is 24042416357. The reversal of 24042416328 is 82361424042.

24042416328 is a `hidden beast` number, since 2 + 404 + 241 + 6 + 3 + 2 + 8 = 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 = 24042416292 and 24042416301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409458 + ... + 464478.

It is an arithmetic number, because the mean of its divisors is an integer number (422293850).

Almost surely, 2^24042416328 is an apocalyptic number.

24042416328 is a gapful number since it is divisible by the number (28) 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 24042416328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40540209600).

24042416328 is an abundant number, since it is smaller than the sum of its proper divisors (57038002872).

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

24042416328 is a wasteful number, since it uses less digits than its factorization.

24042416328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55077 (or 55050 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 24042416328 in words is "twenty-four billion, forty-two million, four hundred sixteen thousand, three hundred twenty-eight".