12414410220432 has 40 divisors (see below), whose sum is σ = 34986065168160. Its totient is φ = 3761942490880.

The previous prime is 12414410220431. The next prime is 12414410220491. The reversal of 12414410220432 is 23402201441421.

It is a super-3 number, since 3×12414410220432³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12414410220432.

It is not an unprimeable number, because it can be changed into a prime (12414410220431) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11756069757 + ... + 11756070812.

It is an arithmetic number, because the mean of its divisors is an integer number (874651629204).

Almost surely, 2^{12414410220432} is an apocalyptic number.

12414410220432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12414410220432 is an abundant number, since it is smaller than the sum of its proper divisors (22571654947728).

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

12414410220432 is a wasteful number, since it uses less digits than its factorization.

12414410220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23512140591 (or 23512140585 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 12414410220432 its reverse (23402201441421), we get a palindrome (35816611661853).

The spelling of 12414410220432 in words is "twelve trillion, four hundred fourteen billion, four hundred ten million, two hundred twenty thousand, four hundred thirty-two".