1271441340 has 192 divisors, whose sum is σ = 4293811200. Its totient is φ = 310480128.

The previous prime is 1271441333. The next prime is 1271441363. The reversal of 1271441340 is 431441721.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 975129 + ... + 976431.

It is an arithmetic number, because the mean of its divisors is an integer number (22363600).

Almost surely, 2^1271441340 is an apocalyptic number.

1271441340 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 1271441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146905600).

1271441340 is an abundant number, since it is smaller than the sum of its proper divisors (3022369860).

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

1271441340 is a wasteful number, since it uses less digits than its factorization.

1271441340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1271441340 is about 35657.2761158224. The cubic root of 1271441340 is about 1083.3416560044.

The spelling of 1271441340 in words is "one billion, two hundred seventy-one million, four hundred forty-one thousand, three hundred forty".