41564909808 has 320 divisors, whose sum is σ = 133116480000. Its totient is φ = 12361144320.

The previous prime is 41564909797. The next prime is 41564909819. The reversal of 41564909808 is 80890946514.

41564909808 is a `hidden beast` number, since 415 + 64 + 90 + 9 + 80 + 8 = 666.

41564909808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41564909797) and next prime (41564909819).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9757183 + ... + 9761441.

It is an arithmetic number, because the mean of its divisors is an integer number (415989000).

Almost surely, 2^41564909808 is an apocalyptic number.

41564909808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41564909808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66558240000).

41564909808 is an abundant number, since it is smaller than the sum of its proper divisors (91551570192).

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

41564909808 is a wasteful number, since it uses less digits than its factorization.

41564909808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 41564909808 in words is "forty-one billion, five hundred sixty-four million, nine hundred nine thousand, eight hundred eight".