12440414400 has 336 divisors, whose sum is σ = 42179443200. Its totient is φ = 3208458240.

The previous prime is 12440414387. The next prime is 12440414431. The reversal of 12440414400 is 441404421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20097291 + ... + 20097909.

Almost surely, 2^12440414400 is an apocalyptic number.

12440414400 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 12440414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21089721600).

12440414400 is an abundant number, since it is smaller than the sum of its proper divisors (29739028800).

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

12440414400 is a wasteful number, since it uses less digits than its factorization.

12440414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12440414400 its reverse (441404421), we get a palindrome (12881818821).

The spelling of 12440414400 in words is "twelve billion, four hundred forty million, four hundred fourteen thousand, four hundred".