1140856200 has 288 divisors, whose sum is σ = 4217765760. Its totient is φ = 274060800.

The previous prime is 1140856193. The next prime is 1140856207. The reversal of 1140856200 is 26580411.

1140856200 is a `hidden beast` number, since 1 + 1 + 408 + 56 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (1140856193) and next prime (1140856207).

It is not an unprimeable number, because it can be changed into a prime (1140856207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3108417 + ... + 3108783.

It is an arithmetic number, because the mean of its divisors is an integer number (14645020).

Almost surely, 2^1140856200 is an apocalyptic number.

1140856200 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 1140856200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108882880).

1140856200 is an abundant number, since it is smaller than the sum of its proper divisors (3076909560).

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

1140856200 is a wasteful number, since it uses less digits than its factorization.

1140856200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1140856200 is about 33776.5628801985. The cubic root of 1140856200 is about 1044.9053888994.

The spelling of 1140856200 in words is "one billion, one hundred forty million, eight hundred fifty-six thousand, two hundred".