41132133240440 has 256 divisors, whose sum is σ = 102316794624000. Its totient is φ = 14758022522880.

The previous prime is 41132133240439. The next prime is 41132133240469. The reversal of 41132133240440 is 4404233123114.

It is a junction number, because it is equal to n+sod(n) for n = 41132133240397 and 41132133240406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5220472421 + ... + 5220480299.

It is an arithmetic number, because the mean of its divisors is an integer number (399674979000).

Almost surely, 2^{41132133240440} is an apocalyptic number.

41132133240440 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 41132133240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51158397312000).

41132133240440 is an abundant number, since it is smaller than the sum of its proper divisors (61184661383560).

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

41132133240440 is a wasteful number, since it uses less digits than its factorization.

41132133240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8590 (or 8586 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 41132133240440 its reverse (4404233123114), we get a palindrome (45536366363554).

The spelling of 41132133240440 in words is "forty-one trillion, one hundred thirty-two billion, one hundred thirty-three million, two hundred forty thousand, four hundred forty".