1071414808041 has 32 divisors (see below), whose sum is σ = 1537596908928. Its totient is φ = 661147223040.

The previous prime is 1071414808027. The next prime is 1071414808081. The reversal of 1071414808041 is 1408084141701.

It is not a de Polignac number, because 1071414808041 - 2⁶ = 1071414807977 is a prime.

It is a super-2 number, since 2×1071414808041² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1071414808081) 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 31 ways as a sum of consecutive naturals, for example, 27192231 + ... + 27231603.

It is an arithmetic number, because the mean of its divisors is an integer number (48049903404).

Almost surely, 2^{1071414808041} is an apocalyptic number.

It is an amenable number.

1071414808041 is a deficient number, since it is larger than the sum of its proper divisors (466182100887).

1071414808041 is a wasteful number, since it uses less digits than its factorization.

1071414808041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48201.

The product of its (nonzero) digits is 28672, while the sum is 39.

Adding to 1071414808041 its reverse (1408084141701), we get a palindrome (2479498949742).

The spelling of 1071414808041 in words is "one trillion, seventy-one billion, four hundred fourteen million, eight hundred eight thousand, forty-one".