12140013440 has 64 divisors (see below), whose sum is σ = 29214652320. Its totient is φ = 4823808000.

The previous prime is 12140013419. The next prime is 12140013467. The reversal of 12140013440 is 4431004121.

12140013440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33830 + ... + 159450.

Almost surely, 2^12140013440 is an apocalyptic number.

12140013440 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 12140013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14607326160).

12140013440 is an abundant number, since it is smaller than the sum of its proper divisors (17074638880).

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

12140013440 is a wasteful number, since it uses less digits than its factorization.

12140013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125791 (or 125779 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12140013440 its reverse (4431004121), we get a palindrome (16571017561).

The spelling of 12140013440 in words is "twelve billion, one hundred forty million, thirteen thousand, four hundred forty".