41315401645056 has 3168 divisors, whose sum is σ = 170917522513920. Its totient is φ = 9819706982400.

The previous prime is 41315401645043. The next prime is 41315401645097. The reversal of 41315401645056 is 65054610451314.

41315401645056 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 540 + 1 + 6 + 4 + 50 + 56 = 666.

41315401645056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 78996943611 + ... + 78996944133.

Almost surely, 2^{41315401645056} 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 41315401645056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85458761256960).

41315401645056 is an abundant number, since it is smaller than the sum of its proper divisors (129602120868864).

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

41315401645056 is a wasteful number, since it uses less digits than its factorization.

41315401645056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 41315401645056 in words is "forty-one trillion, three hundred fifteen billion, four hundred one million, six hundred forty-five thousand, fifty-six".