1141871760 has 120 divisors (see below), whose sum is σ = 3840944640. Its totient is φ = 304010496.

The previous prime is 1141871743. The next prime is 1141871791. The reversal of 1141871760 is 671781411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1141871760² = 2607742232570995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781911 + ... + 783369.

It is an arithmetic number, because the mean of its divisors is an integer number (32007872).

Almost surely, 2^1141871760 is an apocalyptic number.

1141871760 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 1141871760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920472320).

1141871760 is an abundant number, since it is smaller than the sum of its proper divisors (2699072880).

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

1141871760 is a wasteful number, since it uses less digits than its factorization.

1141871760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The square root of 1141871760 is about 33791.5930373222. The cubic root of 1141871760 is about 1045.2153459881.

The spelling of 1141871760 in words is "one billion, one hundred forty-one million, eight hundred seventy-one thousand, seven hundred sixty".