71413431417 has 24 divisors (see below), whose sum is σ = 108194726016. Its totient is φ = 45336636576.

The previous prime is 71413431391. The next prime is 71413431443.

71413431417 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (71413431391) and next prime (71413431443).

It is not a de Polignac number, because 71413431417 - 2¹⁴ = 71413415033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71413431457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2265783 + ... + 2297084.

It is an arithmetic number, because the mean of its divisors is an integer number (4508113584).

Almost surely, 2^71413431417 is an apocalyptic number.

It is an amenable number.

71413431417 is a deficient number, since it is larger than the sum of its proper divisors (36781294599).

71413431417 is a wasteful number, since it uses less digits than its factorization.

71413431417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4562957 (or 4562954 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The spelling of 71413431417 in words is "seventy-one billion, four hundred thirteen million, four hundred thirty-one thousand, four hundred seventeen".