12410200331400 has 192 divisors, whose sum is σ = 40768279948800. Its totient is φ = 3112146063360.

The previous prime is 12410200331371. The next prime is 12410200331411. The reversal of 12410200331400 is 413300201421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11871081 + ... + 12874119.

It is an arithmetic number, because the mean of its divisors is an integer number (212334791400).

Almost surely, 2^{12410200331400} is an apocalyptic number.

12410200331400 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 12410200331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20384139974400).

12410200331400 is an abundant number, since it is smaller than the sum of its proper divisors (28358079617400).

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

12410200331400 is a wasteful number, since it uses less digits than its factorization.

12410200331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004288 (or 1004279 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12410200331400 its reverse (413300201421), we get a palindrome (12823500532821).

The spelling of 12410200331400 in words is "twelve trillion, four hundred ten billion, two hundred million, three hundred thirty-one thousand, four hundred".