1144822240 has 96 divisors (see below), whose sum is σ = 2882718720. Its totient is φ = 428634624.

The previous prime is 1144822201. The next prime is 1144822297. The reversal of 1144822240 is 422284411.

It is a super-2 number, since 2×1144822240² = 2621235922397235200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1144822199 and 1144822208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169651 + ... + 176269.

It is an arithmetic number, because the mean of its divisors is an integer number (30028320).

Almost surely, 2^1144822240 is an apocalyptic number.

1144822240 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 1144822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441359360).

1144822240 is an abundant number, since it is smaller than the sum of its proper divisors (1737896480).

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

1144822240 is a wasteful number, since it uses less digits than its factorization.

1144822240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6704 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 1144822240 is about 33835.2218848939. The cubic root of 1144822240 is about 1046.1148149532.

The spelling of 1144822240 in words is "one billion, one hundred forty-four million, eight hundred twenty-two thousand, two hundred forty".