12414011041440 has 192 divisors, whose sum is σ = 43542888076800. Its totient is φ = 3303252513792.

The previous prime is 12414011041433. The next prime is 12414011041441. The reversal of 12414011041440 is 4414011041421.

12414011041440 is a `hidden beast` number, since 1 + 2 + 414 + 0 + 1 + 104 + 144 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12414011041441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103095 + ... + 5103414.

It is an arithmetic number, because the mean of its divisors is an integer number (226785875400).

Almost surely, 2^{12414011041440} is an apocalyptic number.

12414011041440 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 12414011041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21771444038400).

12414011041440 is an abundant number, since it is smaller than the sum of its proper divisors (31128877035360).

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

12414011041440 is a wasteful number, since it uses less digits than its factorization.

12414011041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6206996 (or 6206982 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 12414011041440 its reverse (4414011041421), we get a palindrome (16828022082861).

The spelling of 12414011041440 in words is "twelve trillion, four hundred fourteen billion, eleven million, forty-one thousand, four hundred forty".