271040763840 has 1008 divisors, whose sum is σ = 1153354080384. Its totient is φ = 53319168000.

The previous prime is 271040763839. The next prime is 271040763853. The reversal of 271040763840 is 48367040172.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 271040763792 and 271040763801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 186795115 + ... + 186796565.

Almost surely, 2^271040763840 is an apocalyptic number.

271040763840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271040763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576677040192).

271040763840 is an abundant number, since it is smaller than the sum of its proper divisors (882313316544).

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

271040763840 is a wasteful number, since it uses less digits than its factorization.

271040763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 271040763840 in words is "two hundred seventy-one billion, forty million, seven hundred sixty-three thousand, eight hundred forty".