71416461417 has 16 divisors (see below), whose sum is σ = 108919505280. Its totient is φ = 40773998592.

The previous prime is 71416461367. The next prime is 71416461449.

71416461417 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 71416461417 - 2¹⁶ = 71416395881 is a prime.

It is a super-2 number, since 2×71416461417² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71416461497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1450542 + ... + 1498967.

It is an arithmetic number, because the mean of its divisors is an integer number (6807469080).

Almost surely, 2^71416461417 is an apocalyptic number.

It is an amenable number.

71416461417 is a deficient number, since it is larger than the sum of its proper divisors (37503043863).

71416461417 is a wasteful number, since it uses less digits than its factorization.

71416461417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950672.

The product of its digits is 112896, while the sum is 42.

The spelling of 71416461417 in words is "seventy-one billion, four hundred sixteen million, four hundred sixty-one thousand, four hundred seventeen".