10405041441327 has 24 divisors (see below), whose sum is σ = 16199537359824. Its totient is φ = 6397596664704.

The previous prime is 10405041441313. The next prime is 10405041441371. The reversal of 10405041441327 is 72314414050401.

10405041441327 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 504 + 14 + 4 + 132 + 7 = 666.

It is not a de Polignac number, because 10405041441327 - 2⁸ = 10405041441071 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10405041441291 and 10405041441300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405041441227) 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 23 ways as a sum of consecutive naturals, for example, 38097798 + ... + 38369939.

It is an arithmetic number, because the mean of its divisors is an integer number (674980723326).

Almost surely, 2^{10405041441327} is an apocalyptic number.

10405041441327 is a deficient number, since it is larger than the sum of its proper divisors (5794495918497).

10405041441327 is a wasteful number, since it uses less digits than its factorization.

10405041441327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76468919 (or 76468916 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 10405041441327 its reverse (72314414050401), we get a palindrome (82719455491728).

The spelling of 10405041441327 in words is "ten trillion, four hundred five billion, forty-one million, four hundred forty-one thousand, three hundred twenty-seven".