41107185745920 has 4320 divisors, whose sum is σ = 189727019943552. Its totient is φ = 8475799191552.

The previous prime is 41107185745919. The next prime is 41107185745943. The reversal of 41107185745920 is 2954758170114.

41107185745920 is a `hidden beast` number, since 4 + 1 + 1 + 0 + 7 + 18 + 574 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 613540085727 + ... + 613540085793.

Almost surely, 2^{41107185745920} is an apocalyptic number.

41107185745920 is a gapful number since it is divisible by the number (40) 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 41107185745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94863509971776).

41107185745920 is an abundant number, since it is smaller than the sum of its proper divisors (148619834197632).

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

41107185745920 is an equidigital number, since it uses as much as digits as its factorization.

41107185745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 41107185745920 in words is "forty-one trillion, one hundred seven billion, one hundred eighty-five million, seven hundred forty-five thousand, nine hundred twenty".