12440034024 has 256 divisors, whose sum is σ = 35907701760. Its totient is φ = 3558144000.

The previous prime is 12440034023. The next prime is 12440034049. The reversal of 12440034024 is 42043004421.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12440033985 and 12440034003.

It is not an unprimeable number, because it can be changed into a prime (12440034023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54801799 + ... + 54802025.

It is an arithmetic number, because the mean of its divisors is an integer number (140264460).

Almost surely, 2^12440034024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12440034024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17953850880).

12440034024 is an abundant number, since it is smaller than the sum of its proper divisors (23467667736).

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

12440034024 is a wasteful number, since it uses less digits than its factorization.

12440034024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 428 counting only the distinct ones).

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

Adding to 12440034024 its reverse (42043004421), we get a palindrome (54483038445).

The spelling of 12440034024 in words is "twelve billion, four hundred forty million, thirty-four thousand, twenty-four".