1144024000 has 224 divisors, whose sum is σ = 3347435520. Its totient is φ = 379008000.

The previous prime is 1144023977. The next prime is 1144024033. The reversal of 1144024000 is 4204411.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1735671 + ... + 1736329.

Almost surely, 2^1144024000 is an apocalyptic number.

1144024000 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 1144024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673717760).

1144024000 is an abundant number, since it is smaller than the sum of its proper divisors (2203411520).

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

1144024000 is an equidigital number, since it uses as much as digits as its factorization.

1144024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1144024000 is about 33823.4238361524. The cubic root of 1144024000 is about 1045.8716200365.

Adding to 1144024000 its reverse (4204411), we get a palindrome (1148228411).

It can be divided in two parts, 1 and 144024000, that added together give a square (144024001 = 12001²).

The spelling of 1144024000 in words is "one billion, one hundred forty-four million, twenty-four thousand".