41284166112 has 288 divisors, whose sum is σ = 147379115520. Its totient is φ = 10688578560.

The previous prime is 41284166087. The next prime is 41284166129. The reversal of 41284166112 is 21166148214.

41284166112 is a `hidden beast` number, since 4 + 1 + 28 + 4 + 16 + 611 + 2 = 666.

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

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

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 857562 + ... + 904422.

It is an arithmetic number, because the mean of its divisors is an integer number (511733040).

Almost surely, 2^41284166112 is an apocalyptic number.

41284166112 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 41284166112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73689557760).

41284166112 is an abundant number, since it is smaller than the sum of its proper divisors (106094949408).

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

41284166112 is a wasteful number, since it uses less digits than its factorization.

41284166112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46926 (or 46915 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 41284166112 in words is "forty-one billion, two hundred eighty-four million, one hundred sixty-six thousand, one hundred twelve".