1140251443200 has 270 divisors, whose sum is σ = 4084522610714. Its totient is φ = 304066068480.

The previous prime is 1140251443187. The next prime is 1140251443213. The reversal of 1140251443200 is 23441520411.

1140251443200 is a `hidden beast` number, since 1 + 1 + 402 + 5 + 14 + 43 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (1140251443187) and next prime (1140251443213).

It can be written as a sum of positive squares in 3 ways, for example, as 7201898496 + 1133049544704 = 84864^2 + 1064448^2 .

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 17 ways as a sum of consecutive naturals, for example, 3531744 + ... + 3841056.

Almost surely, 2^{1140251443200} is an apocalyptic number.

1140251443200 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 1140251443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042261305357).

1140251443200 is an abundant number, since it is smaller than the sum of its proper divisors (2944271167514).

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

1140251443200 is an equidigital number, since it uses as much as digits as its factorization.

1140251443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309357 (or 309323 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1140251443200 its reverse (23441520411), we get a palindrome (1163692963611).

The spelling of 1140251443200 in words is "one trillion, one hundred forty billion, two hundred fifty-one million, four hundred forty-three thousand, two hundred".