41191137936 has 135 divisors (see below), whose sum is σ = 124923652347. Its totient is φ = 12664454400.

The previous prime is 41191137919. The next prime is 41191137947. The reversal of 41191137936 is 63973119114.

The square root of 41191137936 is 202956.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 33907539600 + 7283598336 = 184140^2 + 85344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41191137891 and 41191137900.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 31660486 + ... + 31661786.

Almost surely, 2^41191137936 is an apocalyptic number.

41191137936 is the 202956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41191137936

41191137936 is an abundant number, since it is smaller than the sum of its proper divisors (83732514411).

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

41191137936 is a wasteful number, since it uses less digits than its factorization.

41191137936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 1319 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The spelling of 41191137936 in words is "forty-one billion, one hundred ninety-one million, one hundred thirty-seven thousand, nine hundred thirty-six".