1141186920 has 64 divisors (see below), whose sum is σ = 3464838720. Its totient is φ = 300647424.

The previous prime is 1141186913. The next prime is 1141186939. The reversal of 1141186920 is 296811411.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47329 + ... + 67248.

It is an arithmetic number, because the mean of its divisors is an integer number (54138105).

Almost surely, 2^1141186920 is an apocalyptic number.

1141186920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141186920 is an abundant number, since it is smaller than the sum of its proper divisors (2323651800).

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

1141186920 is a wasteful number, since it uses less digits than its factorization.

1141186920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114674 (or 114670 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 1141186920 is about 33781.4582278504. The cubic root of 1141186920 is about 1045.0063474962.

The spelling of 1141186920 in words is "one billion, one hundred forty-one million, one hundred eighty-six thousand, nine hundred twenty".