41275109790720 has 792 divisors, whose sum is σ = 155014913453400. Its totient is φ = 10150179766272.

The previous prime is 41275109790713. The next prime is 41275109790749. The reversal of 41275109790720 is 2709790157214.

41275109790720 is a `hidden beast` number, since 4 + 12 + 7 + 510 + 9 + 7 + 90 + 7 + 20 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 36870349833216 + 4404759957504 = 6072096^2 + 2098752^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11128364226 + ... + 11128367934.

It is an arithmetic number, because the mean of its divisors is an integer number (195725900825).

Almost surely, 2^{41275109790720} is an apocalyptic number.

41275109790720 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 41275109790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77507456726700).

41275109790720 is an abundant number, since it is smaller than the sum of its proper divisors (113739803662680).

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

41275109790720 is a wasteful number, since it uses less digits than its factorization.

41275109790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 41275109790720 in words is "forty-one trillion, two hundred seventy-five billion, one hundred nine million, seven hundred ninety thousand, seven hundred twenty".