71122991414401 has 8 divisors (see below), whose sum is σ = 71891449942400. Its totient is φ = 70356641141520.

The previous prime is 71122991414399. The next prime is 71122991414413. The reversal of 71122991414401 is 10441419922117.

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

It is a cyclic number.

It is not a de Polignac number, because 71122991414401 - 2¹ = 71122991414399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71122991414801) 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, 526995945 + ... + 527130886.

It is an arithmetic number, because the mean of its divisors is an integer number (8986431242800).

Almost surely, 2^{71122991414401} is an apocalyptic number.

It is an amenable number.

71122991414401 is a deficient number, since it is larger than the sum of its proper divisors (768458527999).

71122991414401 is a wasteful number, since it uses less digits than its factorization.

71122991414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054127559.

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 71122991414401 in words is "seventy-one trillion, one hundred twenty-two billion, nine hundred ninety-one million, four hundred fourteen thousand, four hundred one".