41408680820508 has 96 divisors (see below), whose sum is σ = 108168512363520. Its totient is φ = 13698579124800.

The previous prime is 41408680820501. The next prime is 41408680820561. The reversal of 41408680820508 is 80502808680414.

41408680820508 is a `hidden beast` number, since 414 + 0 + 86 + 80 + 8 + 20 + 50 + 8 = 666.

It is a super-2 number, since 2×41408680820508² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41408680820501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16141066 + ... + 18529742.

It is an arithmetic number, because the mean of its divisors is an integer number (1126755337120).

Almost surely, 2^{41408680820508} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41408680820508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54084256181760).

41408680820508 is an abundant number, since it is smaller than the sum of its proper divisors (66759831543012).

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

41408680820508 is a wasteful number, since it uses less digits than its factorization.

41408680820508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389904 (or 2389896 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 41408680820508 in words is "forty-one trillion, four hundred eight billion, six hundred eighty million, eight hundred twenty thousand, five hundred eight".