12406061440 has 128 divisors (see below), whose sum is σ = 31461696000. Its totient is φ = 4661772288.

The previous prime is 12406061401. The next prime is 12406061449. The reversal of 12406061440 is 4416060421.

12406061440 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 (128).

It is a junction number, because it is equal to n+sod(n) for n = 12406061399 and 12406061408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12406061449) 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 15 ways as a sum of consecutive naturals, for example, 11412577 + ... + 11413663.

It is an arithmetic number, because the mean of its divisors is an integer number (245794500).

Almost surely, 2^12406061440 is an apocalyptic number.

12406061440 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 12406061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15730848000).

12406061440 is an abundant number, since it is smaller than the sum of its proper divisors (19055634560).

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

12406061440 is a wasteful number, since it uses less digits than its factorization.

12406061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 12406061440 in words is "twelve billion, four hundred six million, sixty-one thousand, four hundred forty".