12440013432 has 256 divisors, whose sum is σ = 41206579200. Its totient is φ = 3029882880.

The previous prime is 12440013419. The next prime is 12440013437. The reversal of 12440013432 is 23431004421.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12440013437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11277793 + ... + 11278895.

It is an arithmetic number, because the mean of its divisors is an integer number (160963200).

Almost surely, 2^12440013432 is an apocalyptic number.

12440013432 is a gapful number since it is divisible by the number (12) 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 12440013432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603289600).

12440013432 is an abundant number, since it is smaller than the sum of its proper divisors (28766565768).

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

12440013432 is a wasteful number, since it uses less digits than its factorization.

12440013432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12440013432 its reverse (23431004421), we get a palindrome (35871017853).

The spelling of 12440013432 in words is "twelve billion, four hundred forty million, thirteen thousand, four hundred thirty-two".