41260765824 has 384 divisors, whose sum is σ = 130892520000. Its totient is φ = 12791955456.

The previous prime is 41260765813. The next prime is 41260765831. The reversal of 41260765824 is 42856706214.

41260765824 is a `hidden beast` number, since 4 + 1 + 2 + 60 + 7 + 6 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 41260765824.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108867267 + ... + 108867645.

Almost surely, 2^41260765824 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 41260765824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65446260000).

41260765824 is an abundant number, since it is smaller than the sum of its proper divisors (89631754176).

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

41260765824 is a wasteful number, since it uses less digits than its factorization.

41260765824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 41260765824 in words is "forty-one billion, two hundred sixty million, seven hundred sixty-five thousand, eight hundred twenty-four".