41493344256 has 1248 divisors, whose sum is σ = 167332300800. Its totient is φ = 10032906240.

The previous prime is 41493344251. The next prime is 41493344257. The reversal of 41493344256 is 65244339414.

41493344256 is a `hidden beast` number, since 41 + 493 + 34 + 42 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is not an unprimeable number, because it can be changed into a prime (41493344251) 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 95 ways as a sum of consecutive naturals, for example, 1338494961 + ... + 1338494991.

Almost surely, 2^41493344256 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 41493344256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83666150400).

41493344256 is an abundant number, since it is smaller than the sum of its proper divisors (125838956544).

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

41493344256 is a wasteful number, since it uses less digits than its factorization.

41493344256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 75 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 41493344256 in words is "forty-one billion, four hundred ninety-three million, three hundred forty-four thousand, two hundred fifty-six".