41130785952 has 144 divisors (see below), whose sum is σ = 124809572160. Its totient is φ = 12810617856.

The previous prime is 41130785947. The next prime is 41130785953. The reversal of 41130785952 is 25958703114.

41130785952 is a `hidden beast` number, since 41 + 13 + 0 + 7 + 8 + 595 + 2 = 666.

41130785952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 41130785898 and 41130785907.

It is not an unprimeable number, because it can be changed into a prime (41130785953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347973 + ... + 450939.

It is an arithmetic number, because the mean of its divisors is an integer number (866733140).

Almost surely, 2^41130785952 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 41130785952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62404786080).

41130785952 is an abundant number, since it is smaller than the sum of its proper divisors (83678786208).

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

41130785952 is a wasteful number, since it uses less digits than its factorization.

41130785952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103075 (or 103064 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 41130785952 in words is "forty-one billion, one hundred thirty million, seven hundred eighty-five thousand, nine hundred fifty-two".