1144334000 has 80 divisors (see below), whose sum is σ = 2856412416. Its totient is φ = 442944000.

The previous prime is 1144333999. The next prime is 1144334047. The reversal of 1144334000 is 4334411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52772 + ... + 71228.

Almost surely, 2^1144334000 is an apocalyptic number.

1144334000 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 1144334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428206208).

1144334000 is an abundant number, since it is smaller than the sum of its proper divisors (1712078416).

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

1144334000 is a wasteful number, since it uses less digits than its factorization.

1144334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18511 (or 18495 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1144334000 is about 33828.0061487520. The cubic root of 1144334000 is about 1045.9660792790.

Adding to 1144334000 its reverse (4334411), we get a palindrome (1148668411).

The spelling of 1144334000 in words is "one billion, one hundred forty-four million, three hundred thirty-four thousand".