41313140144000 has 256 divisors, whose sum is σ = 105260247705600. Its totient is φ = 16120522598400.

The previous prime is 41313140143993. The next prime is 41313140144009. The reversal of 41313140144000 is 44104131314.

It is a happy number.

41313140144000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41313140144009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110228921 + ... + 110603079.

It is an arithmetic number, because the mean of its divisors is an integer number (411172842600).

Almost surely, 2^{41313140144000} is an apocalyptic number.

41313140144000 is a gapful number since it is divisible by the number (40) 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 41313140144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52630123852800).

41313140144000 is an abundant number, since it is smaller than the sum of its proper divisors (63947107561600).

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

41313140144000 is a wasteful number, since it uses less digits than its factorization.

41313140144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374358 (or 374336 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 41313140144000 its reverse (44104131314), we get a palindrome (41357244275314).

The spelling of 41313140144000 in words is "forty-one trillion, three hundred thirteen billion, one hundred forty million, one hundred forty-four thousand".