12414002460 has 96 divisors (see below), whose sum is σ = 35770496832. Its totient is φ = 3214448640.

The previous prime is 12414002459. The next prime is 12414002467. The reversal of 12414002460 is 6420041421.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12414002460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414002467) 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 31 ways as a sum of consecutive naturals, for example, 1151254 + ... + 1161986.

It is an arithmetic number, because the mean of its divisors is an integer number (372609342).

Almost surely, 2^12414002460 is an apocalyptic number.

12414002460 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 12414002460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17885248416).

12414002460 is an abundant number, since it is smaller than the sum of its proper divisors (23356494372).

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

12414002460 is a wasteful number, since it uses less digits than its factorization.

12414002460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11303 (or 11301 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12414002460 its reverse (6420041421), we get a palindrome (18834043881).

The spelling of 12414002460 in words is "twelve billion, four hundred fourteen million, two thousand, four hundred sixty".