41745608064 has 128 divisors (see below), whose sum is σ = 124592796000. Its totient is φ = 13758750720.

The previous prime is 41745608057. The next prime is 41745608071. The reversal of 41745608064 is 46080654714.

41745608064 is a `hidden beast` number, since 4 + 1 + 7 + 4 + 560 + 80 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (41745608057) and next prime (41745608071).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 239724 + ... + 375444.

Almost surely, 2^41745608064 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 41745608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62296398000).

41745608064 is an abundant number, since it is smaller than the sum of its proper divisors (82847187936).

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

41745608064 is a wasteful number, since it uses less digits than its factorization.

41745608064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135833 (or 135815 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 41745608064 in words is "forty-one billion, seven hundred forty-five million, six hundred eight thousand, sixty-four".