271110400416 has 72 divisors (see below), whose sum is σ = 771170137920. Its totient is φ = 90346697856.

The previous prime is 271110400411. The next prime is 271110400427. The reversal of 271110400416 is 614004011172.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 271110400416.

It is not an unprimeable number, because it can be changed into a prime (271110400411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1008571 + ... + 1248773.

It is an arithmetic number, because the mean of its divisors is an integer number (10710696360).

Almost surely, 2^271110400416 is an apocalyptic number.

It is an amenable number.

271110400416 is an abundant number, since it is smaller than the sum of its proper divisors (500059737504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

271110400416 is a wasteful number, since it uses less digits than its factorization.

271110400416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244138 (or 244127 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 271110400416 its reverse (614004011172), we get a palindrome (885114411588).

The spelling of 271110400416 in words is "two hundred seventy-one billion, one hundred ten million, four hundred thousand, four hundred sixteen".