41080853721600 has 2880 divisors, whose sum is σ = 194551917880320. Its totient is φ = 8335672934400.

The previous prime is 41080853721569. The next prime is 41080853721613. The reversal of 41080853721600 is 612735808014.

41080853721600 is a `hidden beast` number, since 4 + 1 + 0 + 8 + 0 + 8 + 5 + 37 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10298532406 + ... + 10298536394.

It is an arithmetic number, because the mean of its divisors is an integer number (67552749264).

Almost surely, 2^{41080853721600} is an apocalyptic number.

41080853721600 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 41080853721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97275958940160).

41080853721600 is an abundant number, since it is smaller than the sum of its proper divisors (153471064158720).

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

41080853721600 is a wasteful number, since it uses less digits than its factorization.

41080853721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 41080853721600 in words is "forty-one trillion, eighty billion, eight hundred fifty-three million, seven hundred twenty-one thousand, six hundred".