71404066040417 has 8 divisors (see below), whose sum is σ = 77899391724000. Its totient is φ = 64909414848960.

The previous prime is 71404066040407. The next prime is 71404066040431.

It is a happy number.

71404066040417 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 71404066040417 - 2¹⁰ = 71404066039393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71404066040407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168401663 + ... + 168825140.

It is an arithmetic number, because the mean of its divisors is an integer number (9737423965500).

Almost surely, 2^{71404066040417} is an apocalyptic number.

It is an amenable number.

71404066040417 is a deficient number, since it is larger than the sum of its proper divisors (6495325683583).

71404066040417 is a wasteful number, since it uses less digits than its factorization.

71404066040417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337246063.

The product of its (nonzero) digits is 451584, while the sum is 44.

The spelling of 71404066040417 in words is "seventy-one trillion, four hundred four billion, sixty-six million, forty thousand, four hundred seventeen".