1144440000 has 630 divisors, whose sum is σ = 4750263804. Its totient is φ = 261120000.

The previous prime is 1144439993. The next prime is 1144440019. The reversal of 1144440000 is 444411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

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 89 ways as a sum of consecutive naturals, for example, 67319992 + ... + 67320008.

Almost surely, 2^1144440000 is an apocalyptic number.

1144440000 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 1144440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375131902).

1144440000 is an abundant number, since it is smaller than the sum of its proper divisors (3605823804).

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

1144440000 is a wasteful number, since it uses less digits than its factorization.

1144440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1144440000 is about 33829.5728616251. The cubic root of 1144440000 is about 1045.9983743319.

Adding to 1144440000 its reverse (444411), we get a palindrome (1144884411).

Multiplying 1144440000 by its reverse (444411), we get a square (508601724840000 = 22552200²).

It can be divided in two parts, 1144 and 440000, that added together give a palindrome (441144).

The spelling of 1144440000 in words is "one billion, one hundred forty-four million, four hundred forty thousand".