41314101182361 has 240 divisors, whose sum is σ = 78180463468800. Its totient is φ = 21602015027712.

The previous prime is 41314101182359. The next prime is 41314101182401. The reversal of 41314101182361 is 16328110141314.

41314101182361 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 410 + 1 + 1 + 8 + 236 + 1 = 666.

41314101182361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41314101182361 - 2¹ = 41314101182359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41314101192361) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 382204320 + ... + 382312398.

It is an arithmetic number, because the mean of its divisors is an integer number (325751931120).

Almost surely, 2^{41314101182361} is an apocalyptic number.

It is an amenable number.

41314101182361 is a deficient number, since it is larger than the sum of its proper divisors (36866362286439).

41314101182361 is a wasteful number, since it uses less digits than its factorization.

41314101182361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108298 (or 108282 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 41314101182361 in words is "forty-one trillion, three hundred fourteen billion, one hundred one million, one hundred eighty-two thousand, three hundred sixty-one".