12440234040000 has 560 divisors, whose sum is σ = 46625571041280. Its totient is φ = 2901035520000.

The previous prime is 12440234039951. The next prime is 12440234040119. The reversal of 12440234040000 is 4043204421.

It is a happy number.

12440234040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29430145 + ... + 29849855.

It is an arithmetic number, because the mean of its divisors is an integer number (83259948288).

Almost surely, 2^{12440234040000} is an apocalyptic number.

12440234040000 is a gapful number since it is divisible by the number (10) 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 12440234040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23312785520640).

12440234040000 is an abundant number, since it is smaller than the sum of its proper divisors (34185337001280).

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

12440234040000 is a wasteful number, since it uses less digits than its factorization.

12440234040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419778 (or 419753 counting only the distinct ones).

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

Adding to 12440234040000 its reverse (4043204421), we get a palindrome (12444277244421).

The spelling of 12440234040000 in words is "twelve trillion, four hundred forty billion, two hundred thirty-four million, forty thousand".