41564087712 has 288 divisors, whose sum is σ = 149318951040. Its totient is φ = 11176704000.

The previous prime is 41564087597. The next prime is 41564087731. The reversal of 41564087712 is 21778046514.

41564087712 is a `hidden beast` number, since 4 + 1 + 564 + 0 + 8 + 77 + 12 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 690837 + ... + 748587.

It is an arithmetic number, because the mean of its divisors is an integer number (518468580).

Almost surely, 2^41564087712 is an apocalyptic number.

41564087712 is a gapful number since it is divisible by the number (42) 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 41564087712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74659475520).

41564087712 is an abundant number, since it is smaller than the sum of its proper divisors (107754863328).

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

41564087712 is a wasteful number, since it uses less digits than its factorization.

41564087712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57801 (or 57780 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 41564087712 in words is "forty-one billion, five hundred sixty-four million, eighty-seven thousand, seven hundred twelve".