271435122640 has 80 divisors (see below), whose sum is σ = 728955754560. Its totient is φ = 92897576960.

The previous prime is 271435122619. The next prime is 271435122661. The reversal of 271435122640 is 46221534172.

It is an interprime number because it is at equal distance from previous prime (271435122619) and next prime (271435122661).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 271435122640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9057070 + ... + 9086989.

It is an arithmetic number, because the mean of its divisors is an integer number (9111946932).

Almost surely, 2^271435122640 is an apocalyptic number.

271435122640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271435122640 is an abundant number, since it is smaller than the sum of its proper divisors (457520631920).

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

271435122640 is a wasteful number, since it uses less digits than its factorization.

271435122640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18144100 (or 18144094 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 271435122640 in words is "two hundred seventy-one billion, four hundred thirty-five million, one hundred twenty-two thousand, six hundred forty".