41180804266140 has 1080 divisors, whose sum is σ = 165692607995376. Its totient is φ = 8530539494400.

The previous prime is 41180804266037. The next prime is 41180804266181. The reversal of 41180804266140 is 4166240808114.

41180804266140 is a `hidden beast` number, since 4 + 1 + 1 + 8 + 0 + 8 + 0 + 4 + 26 + 614 + 0 = 666.

41180804266140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41180804266140² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 3179241904 + ... + 3179254856.

Almost surely, 2^{41180804266140} 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 41180804266140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82846303997688).

41180804266140 is an abundant number, since it is smaller than the sum of its proper divisors (124511803729236).

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

41180804266140 is a wasteful number, since it uses less digits than its factorization.

41180804266140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13341 (or 13312 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 41180804266140 in words is "forty-one trillion, one hundred eighty billion, eight hundred four million, two hundred sixty-six thousand, one hundred forty".