1271641140 has 576 divisors, whose sum is σ = 5336513280. Its totient is φ = 247726080.

The previous prime is 1271641127. The next prime is 1271641141. The reversal of 1271641140 is 411461721.

1271641140 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 641 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271641141) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4947892 + ... + 4948148.

It is an arithmetic number, because the mean of its divisors is an integer number (9264780).

Almost surely, 2^1271641140 is an apocalyptic number.

1271641140 is a gapful number since it is divisible by the number (10) 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 1271641140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668256640).

1271641140 is an abundant number, since it is smaller than the sum of its proper divisors (4064872140).

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

1271641140 is a wasteful number, since it uses less digits than its factorization.

1271641140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 302 counting only the distinct ones).

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

The square root of 1271641140 is about 35660.0776779861. The cubic root of 1271641140 is about 1083.3984000893.

It can be divided in two parts, 1271 and 641140, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 1271641140 in words is "one billion, two hundred seventy-one million, six hundred forty-one thousand, one hundred forty".