41564161152 has 320 divisors, whose sum is σ = 135213027840. Its totient is φ = 12617441280.

The previous prime is 41564161109. The next prime is 41564161153. The reversal of 41564161152 is 25116146514.

41564161152 is a `hidden beast` number, since 4 + 1 + 5 + 641 + 6 + 1 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41564161153) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5460133 + ... + 5467739.

It is an arithmetic number, because the mean of its divisors is an integer number (422540712).

Almost surely, 2^41564161152 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 41564161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67606513920).

41564161152 is an abundant number, since it is smaller than the sum of its proper divisors (93648866688).

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

41564161152 is a wasteful number, since it uses less digits than its factorization.

41564161152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7681 (or 7660 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 41564161152 in words is "forty-one billion, five hundred sixty-four million, one hundred sixty-one thousand, one hundred fifty-two".