41182034976 has 72 divisors (see below), whose sum is σ = 117256836060. Its totient is φ = 13710299136.

The previous prime is 41182034969. The next prime is 41182034977. The reversal of 41182034976 is 67943028114.

It can be written as a sum of positive squares in 2 ways, for example, as 40996530576 + 185504400 = 202476^2 + 13620^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (41182034977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144616 + ... + 321368.

Almost surely, 2^41182034976 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 41182034976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58628418030).

41182034976 is an abundant number, since it is smaller than the sum of its proper divisors (76074801084).

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

41182034976 is a wasteful number, since it uses less digits than its factorization.

41182034976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177578 (or 177567 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 41182034976 in words is "forty-one billion, one hundred eighty-two million, thirty-four thousand, nine hundred seventy-six".