41544001566 has 96 divisors (see below), whose sum is σ = 97302254400. Its totient is φ = 12762455040.

The previous prime is 41544001559. The next prime is 41544001567. The reversal of 41544001566 is 66510044514.

41544001566 is a `hidden beast` number, since 4 + 1 + 54 + 40 + 0 + 1 + 566 = 666.

It is a super-2 number, since 2×41544001566² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 41544001566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41544001567) by changing a digit.

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, 4269655 + ... + 4279373.

It is an arithmetic number, because the mean of its divisors is an integer number (1013565150).

Almost surely, 2^41544001566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41544001566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48651127200).

41544001566 is an abundant number, since it is smaller than the sum of its proper divisors (55758252834).

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

41544001566 is a wasteful number, since it uses less digits than its factorization.

41544001566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10034 (or 10031 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 41544001566 in words is "forty-one billion, five hundred forty-four million, one thousand, five hundred sixty-six".