1141060800 has 168 divisors, whose sum is σ = 4084149312. Its totient is φ = 276608000.

The previous prime is 1141060777. The next prime is 1141060801. The reversal of 1141060800 is 80601411.

It is not an unprimeable number, because it can be changed into a prime (1141060801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41995 + ... + 63605.

Almost surely, 2^1141060800 is an apocalyptic number.

1141060800 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 1141060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042074656).

1141060800 is an abundant number, since it is smaller than the sum of its proper divisors (2943088512).

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

1141060800 is a wasteful number, since it uses less digits than its factorization.

1141060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21647 (or 21632 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1141060800 is about 33779.5914717748. The cubic root of 1141060800 is about 1044.9678492585.

The spelling of 1141060800 in words is "one billion, one hundred forty-one million, sixty thousand, eight hundred".