1143436320 has 288 divisors, whose sum is σ = 4450550832. Its totient is φ = 264830976.

The previous prime is 1143436319. The next prime is 1143436339. The reversal of 1143436320 is 236343411.

It can be written as a sum of positive squares in 8 ways, for example, as 336649104 + 806787216 = 18348^2 + 28404^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 316444 + ... + 320036.

Almost surely, 2^1143436320 is an apocalyptic number.

1143436320 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 1143436320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225275416).

1143436320 is an abundant number, since it is smaller than the sum of its proper divisors (3307114512).

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

1143436320 is a wasteful number, since it uses less digits than its factorization.

1143436320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1143436320 is about 33814.7352495920. The cubic root of 1143436320 is about 1045.6925028416.

Adding to 1143436320 its reverse (236343411), we get a palindrome (1379779731).

The spelling of 1143436320 in words is "one billion, one hundred forty-three million, four hundred thirty-six thousand, three hundred twenty".