41331134040 has 256 divisors, whose sum is σ = 146287088640. Its totient is φ = 9145344000.

The previous prime is 41331134023. The next prime is 41331134041. The reversal of 41331134040 is 4043113314.

41331134040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41331134040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41331134041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4507060 + ... + 4516220.

It is an arithmetic number, because the mean of its divisors is an integer number (571433940).

Almost surely, 2^41331134040 is an apocalyptic number.

41331134040 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 41331134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73143544320).

41331134040 is an abundant number, since it is smaller than the sum of its proper divisors (104955954600).

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

41331134040 is a wasteful number, since it uses less digits than its factorization.

41331134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9354 (or 9350 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 41331134040 its reverse (4043113314), we get a palindrome (45374247354).

The spelling of 41331134040 in words is "forty-one billion, three hundred thirty-one million, one hundred thirty-four thousand, forty".