41144656301056 has 176 divisors, whose sum is σ = 102578410351872. Its totient is φ = 16025064652800.

The previous prime is 41144656301041. The next prime is 41144656301129. The reversal of 41144656301056 is 65010365644114.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 41144656300997 and 41144656301015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241741746 + ... + 241911886.

Almost surely, 2^{41144656301056} 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 41144656301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51289205175936).

41144656301056 is an abundant number, since it is smaller than the sum of its proper divisors (61433754050816).

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

41144656301056 is a wasteful number, since it uses less digits than its factorization.

41144656301056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173246 (or 173228 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 41144656301056 in words is "forty-one trillion, one hundred forty-four billion, six hundred fifty-six million, three hundred one thousand, fifty-six".