12441283670400 has 768 divisors, whose sum is σ = 45157609728000. Its totient is φ = 2991461990400.

The previous prime is 12441283670323. The next prime is 12441283670401. The reversal of 12441283670400 is 407638214421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441283670401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3513492630 + ... + 3513496170.

It is an arithmetic number, because the mean of its divisors is an integer number (58798971000).

Almost surely, 2^{12441283670400} is an apocalyptic number.

12441283670400 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 12441283670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22578804864000).

12441283670400 is an abundant number, since it is smaller than the sum of its proper divisors (32716326057600).

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

12441283670400 is a wasteful number, since it uses less digits than its factorization.

12441283670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 12441283670400 in words is "twelve trillion, four hundred forty-one billion, two hundred eighty-three million, six hundred seventy thousand, four hundred".