271041120 has 192 divisors, whose sum is σ = 1084285440. Its totient is φ = 61945344.

The previous prime is 271041107. The next prime is 271041143. The reversal of 271041120 is 21140172.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 271041093 and 271041102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25759 + ... + 34721.

It is an arithmetic number, because the mean of its divisors is an integer number (5647320).

Almost surely, 2^271041120 is an apocalyptic number.

271041120 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 271041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542142720).

271041120 is an abundant number, since it is smaller than the sum of its proper divisors (813244320).

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

271041120 is a wasteful number, since it uses less digits than its factorization.

271041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8994 (or 8980 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 271041120 is about 16463.3265168374. The cubic root of 271041120 is about 647.1600915169.

Adding to 271041120 its reverse (21140172), we get a palindrome (292181292).

It can be divided in two parts, 27104 and 1120, that added together give a square (28224 = 168²).

The spelling of 271041120 in words is "two hundred seventy-one million, forty-one thousand, one hundred twenty".