12441470400 has 420 divisors, whose sum is σ = 48430391328. Its totient is φ = 3122012160.

The previous prime is 12441470399. The next prime is 12441470401. The reversal of 12441470400 is 407414421.

12441470400 is a `hidden beast` number, since 1 + 244 + 14 + 7 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (12441470399) and next prime (12441470401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441470401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2200377 + ... + 2206023.

Almost surely, 2^12441470400 is an apocalyptic number.

12441470400 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 12441470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24215195664).

12441470400 is an abundant number, since it is smaller than the sum of its proper divisors (35988920928).

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

12441470400 is a wasteful number, since it uses less digits than its factorization.

12441470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698 (or 5674 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 12441470400 its reverse (407414421), we get a palindrome (12848884821).

The spelling of 12441470400 in words is "twelve billion, four hundred forty-one million, four hundred seventy thousand, four hundred".