41575637072256 has 1024 divisors, whose sum is σ = 137977896960000. Its totient is φ = 10838046965760.

The previous prime is 41575637072251. The next prime is 41575637072309. The reversal of 41575637072256 is 65227073657514.

It is a self number, because there is not a number n which added to its sum of digits gives 41575637072256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41575637072251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23239595010 + ... + 23239596798.

It is an arithmetic number, because the mean of its divisors is an integer number (134744040000).

Almost surely, 2^{41575637072256} 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 41575637072256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68988948480000).

41575637072256 is an abundant number, since it is smaller than the sum of its proper divisors (96402259887744).

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

41575637072256 is a wasteful number, since it uses less digits than its factorization.

41575637072256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 60.

The spelling of 41575637072256 in words is "forty-one trillion, five hundred seventy-five billion, six hundred thirty-seven million, seventy-two thousand, two hundred fifty-six".