12414402144 has 120 divisors (see below), whose sum is σ = 36631686168. Its totient is φ = 4124390400.

The previous prime is 12414402139. The next prime is 12414402181. The reversal of 12414402144 is 44120441421.

It is a happy number.

12414402144 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 440 + 214 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 787944 + ... + 803544.

Almost surely, 2^12414402144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12414402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18315843084).

12414402144 is an abundant number, since it is smaller than the sum of its proper divisors (24217284024).

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

12414402144 is a wasteful number, since it uses less digits than its factorization.

12414402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15930 (or 15913 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 12414402144 its reverse (44120441421), we get a palindrome (56534843565).

The spelling of 12414402144 in words is "twelve billion, four hundred fourteen million, four hundred two thousand, one hundred forty-four".