41575351548672 has 288 divisors, whose sum is σ = 126002062771200. Its totient is φ = 13518156607488.

The previous prime is 41575351548649. The next prime is 41575351548683. The reversal of 41575351548672 is 27684515357514.

41575351548672 is a `hidden beast` number, since 4 + 1 + 5 + 7 + 5 + 3 + 515 + 48 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44863318 + ... + 45780650.

It is an arithmetic number, because the mean of its divisors is an integer number (437507162400).

Almost surely, 2^{41575351548672} 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 41575351548672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63001031385600).

41575351548672 is an abundant number, since it is smaller than the sum of its proper divisors (84426711222528).

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

41575351548672 is an equidigital number, since it uses as much as digits as its factorization.

41575351548672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917520 (or 917500 counting only the distinct ones).

The product of its digits is 141120000, while the sum is 63.

The spelling of 41575351548672 in words is "forty-one trillion, five hundred seventy-five billion, three hundred fifty-one million, five hundred forty-eight thousand, six hundred seventy-two".