12404413412400 has 480 divisors, whose sum is σ = 42666333465600. Its totient is φ = 3069548134400.

The previous prime is 12404413412393. The next prime is 12404413412407. The reversal of 12404413412400 is 421431440421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12404413412393) and next prime (12404413412407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12404413412407) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 651790885 + ... + 651809915.

It is an arithmetic number, because the mean of its divisors is an integer number (88888194720).

Almost surely, 2^{12404413412400} is an apocalyptic number.

12404413412400 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 12404413412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21333166732800).

12404413412400 is an abundant number, since it is smaller than the sum of its proper divisors (30261920053200).

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

12404413412400 is a wasteful number, since it uses less digits than its factorization.

12404413412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19517 (or 19506 counting only the distinct ones).

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

Adding to 12404413412400 its reverse (421431440421), we get a palindrome (12825844852821).

The spelling of 12404413412400 in words is "twelve trillion, four hundred four billion, four hundred thirteen million, four hundred twelve thousand, four hundred".