12414110440 has 64 divisors (see below), whose sum is σ = 28252224000. Its totient is φ = 4908791808.

The previous prime is 12414110399. The next prime is 12414110453. The reversal of 12414110440 is 4401141421.

12414110440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12414110440² (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 5426977 + ... + 5429263.

It is an arithmetic number, because the mean of its divisors is an integer number (441441000).

Almost surely, 2^12414110440 is an apocalyptic number.

12414110440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414110440 is an abundant number, since it is smaller than the sum of its proper divisors (15838113560).

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

12414110440 is a wasteful number, since it uses less digits than its factorization.

12414110440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 12414110440 its reverse (4401141421), we get a palindrome (16815251861).

The spelling of 12414110440 in words is "twelve billion, four hundred fourteen million, one hundred ten thousand, four hundred forty".