71444244417 has 32 divisors (see below), whose sum is σ = 117389298432. Its totient is φ = 37637478144.

The previous prime is 71444244397. The next prime is 71444244419.

71444244417 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 71444244417 - 2²⁰ = 71443195841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71444244419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53403 + ... + 381759.

It is an arithmetic number, because the mean of its divisors is an integer number (3668415576).

Almost surely, 2^71444244417 is an apocalyptic number.

It is an amenable number.

71444244417 is a deficient number, since it is larger than the sum of its proper divisors (45945054015).

71444244417 is a wasteful number, since it uses less digits than its factorization.

71444244417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329177.

The product of its digits is 401408, while the sum is 42.

The spelling of 71444244417 in words is "seventy-one billion, four hundred forty-four million, two hundred forty-four thousand, four hundred seventeen".