41600206496160 has 288 divisors, whose sum is σ = 154233693785808. Its totient is φ = 10149430394880.

The previous prime is 41600206496131. The next prime is 41600206496183. The reversal of 41600206496160 is 6169460200614.

It is a happy number.

41600206496160 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 0 + 20 + 6 + 4 + 9 + 616 + 0 = 666.

41600206496160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 661144619664 + 40939061876496 = 813108^2 + 6398364^2 .

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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7717531 + ... + 11948250.

Almost surely, 2^{41600206496160} is an apocalyptic number.

41600206496160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41600206496160 is an abundant number, since it is smaller than the sum of its proper divisors (112633487289648).

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

41600206496160 is a wasteful number, since it uses less digits than its factorization.

41600206496160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19665928 (or 19665917 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

Adding to 41600206496160 its reverse (6169460200614), we get a palindrome (47769666696774).

The spelling of 41600206496160 in words is "forty-one trillion, six hundred billion, two hundred six million, four hundred ninety-six thousand, one hundred sixty".