41313936384 has 704 divisors, whose sum is σ = 153515174400. Its totient is φ = 10701766656.

The previous prime is 41313936383. The next prime is 41313936421. The reversal of 41313936384 is 48363931314.

41313936384 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 3 + 9 + 3 + 638 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41313936383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95413032 + ... + 95413464.

Almost surely, 2^41313936384 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 41313936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76757587200).

41313936384 is an abundant number, since it is smaller than the sum of its proper divisors (112201238016).

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

41313936384 is a wasteful number, since it uses less digits than its factorization.

41313936384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 491 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 41313936384 in words is "forty-one billion, three hundred thirteen million, nine hundred thirty-six thousand, three hundred eighty-four".