41341144134240 has 288 divisors, whose sum is σ = 144743137261632. Its totient is φ = 10738630656000.

The previous prime is 41341144134239. The next prime is 41341144134247. The reversal of 41341144134240 is 4243144114314.

41341144134240 is a `hidden beast` number, since 4 + 1 + 341 + 1 + 4 + 41 + 34 + 240 = 666.

41341144134240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41341144134195 and 41341144134204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41341144134247) 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 47 ways as a sum of consecutive naturals, for example, 37298445 + ... + 38390835.

It is an arithmetic number, because the mean of its divisors is an integer number (502580337714).

Almost surely, 2^{41341144134240} is an apocalyptic number.

41341144134240 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 41341144134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72371568630816).

41341144134240 is an abundant number, since it is smaller than the sum of its proper divisors (103401993127392).

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

41341144134240 is a wasteful number, since it uses less digits than its factorization.

41341144134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093094 (or 1093083 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 41341144134240 its reverse (4243144114314), we get a palindrome (45584288248554).

The spelling of 41341144134240 in words is "forty-one trillion, three hundred forty-one billion, one hundred forty-four million, one hundred thirty-four thousand, two hundred forty".