24441142440 has 256 divisors, whose sum is σ = 86650663680. Its totient is φ = 5437071360.

The previous prime is 24441142393. The next prime is 24441142447. The reversal of 24441142440 is 4424114442.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 24441142398 and 24441142407.

It is not an unprimeable number, because it can be changed into a prime (24441142447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2964564 + ... + 2972796.

It is an arithmetic number, because the mean of its divisors is an integer number (338479155).

Almost surely, 2^24441142440 is an apocalyptic number.

24441142440 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 24441142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43325331840).

24441142440 is an abundant number, since it is smaller than the sum of its proper divisors (62209521240).

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

24441142440 is a wasteful number, since it uses less digits than its factorization.

24441142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8444 (or 8440 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 24441142440 its reverse (4424114442), we get a palindrome (28865256882).

The spelling of 24441142440 in words is "twenty-four billion, four hundred forty-one million, one hundred forty-two thousand, four hundred forty".