12414230400 has 384 divisors, whose sum is σ = 48043175040. Its totient is φ = 2777702400.

The previous prime is 12414230383. The next prime is 12414230443. The reversal of 12414230400 is 403241421.

12414230400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12414230400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1368279 + ... + 1377321.

It is an arithmetic number, because the mean of its divisors is an integer number (125112435).

Almost surely, 2^12414230400 is an apocalyptic number.

12414230400 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 12414230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24021587520).

12414230400 is an abundant number, since it is smaller than the sum of its proper divisors (35628944640).

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

12414230400 is a wasteful number, since it uses less digits than its factorization.

12414230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9094 (or 9077 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12414230400 its reverse (403241421), we get a palindrome (12817471821).

The spelling of 12414230400 in words is "twelve billion, four hundred fourteen million, two hundred thirty thousand, four hundred".