12141413040 has 160 divisors (see below), whose sum is σ = 38296120320. Its totient is φ = 3181381632.

The previous prime is 12141413023. The next prime is 12141413047. The reversal of 12141413040 is 4031414121.

12141413040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12141412998 and 12141413016.

It is not an unprimeable number, because it can be changed into a prime (12141413047) 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 31 ways as a sum of consecutive naturals, for example, 9148857 + ... + 9150183.

It is an arithmetic number, because the mean of its divisors is an integer number (239350752).

Almost surely, 2^12141413040 is an apocalyptic number.

12141413040 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 12141413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19148060160).

12141413040 is an abundant number, since it is smaller than the sum of its proper divisors (26154707280).

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

12141413040 is a wasteful number, since it uses less digits than its factorization.

12141413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12141413040 its reverse (4031414121), we get a palindrome (16172827161).

The spelling of 12141413040 in words is "twelve billion, one hundred forty-one million, four hundred thirteen thousand, forty".