12410430450400 has 288 divisors, whose sum is σ = 32228907842880. Its totient is φ = 4663182182400.

The previous prime is 12410430450377. The next prime is 12410430450401. The reversal of 12410430450400 is 405403401421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12410430450401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721905805 + ... + 721922995.

It is an arithmetic number, because the mean of its divisors is an integer number (111905930010).

Almost surely, 2^{12410430450400} is an apocalyptic number.

12410430450400 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 12410430450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16114453921440).

12410430450400 is an abundant number, since it is smaller than the sum of its proper divisors (19818477392480).

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

12410430450400 is an equidigital number, since it uses as much as digits as its factorization.

12410430450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17335 (or 17264 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 12410430450400 its reverse (405403401421), we get a palindrome (12815833851821).

The spelling of 12410430450400 in words is "twelve trillion, four hundred ten billion, four hundred thirty million, four hundred fifty thousand, four hundred".