12414266640 has 240 divisors, whose sum is σ = 44297276400. Its totient is φ = 3109736448.

The previous prime is 12414266639. The next prime is 12414266647. The reversal of 12414266640 is 4666241421.

12414266640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 21233664 + 12393032976 = 4608^2 + 111324^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12414266640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12414266595 and 12414266604.

It is not an unprimeable number, because it can be changed into a prime (12414266647) 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 47 ways as a sum of consecutive naturals, for example, 764526 + ... + 780594.

It is an arithmetic number, because the mean of its divisors is an integer number (184571985).

Almost surely, 2^12414266640 is an apocalyptic number.

12414266640 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 12414266640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22148638200).

12414266640 is an abundant number, since it is smaller than the sum of its proper divisors (31883009760).

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

12414266640 is a wasteful number, since it uses less digits than its factorization.

12414266640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16154 (or 16145 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12414266640 in words is "twelve billion, four hundred fourteen million, two hundred sixty-six thousand, six hundred forty".