41662044144 has 200 divisors, whose sum is σ = 138818088288. Its totient is φ = 11816202240.

The previous prime is 41662044139. The next prime is 41662044167. The reversal of 41662044144 is 44144026614.

41662044144 is a `hidden beast` number, since 4 + 16 + 620 + 4 + 4 + 14 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 41662044099 and 41662044108.

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 39 ways as a sum of consecutive naturals, for example, 1226104 + ... + 1259624.

Almost surely, 2^41662044144 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 41662044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69409044144).

41662044144 is an abundant number, since it is smaller than the sum of its proper divisors (97156044144).

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

41662044144 is a wasteful number, since it uses less digits than its factorization.

41662044144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33685 (or 33670 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 41662044144 in words is "forty-one billion, six hundred sixty-two million, forty-four thousand, one hundred forty-four".