1144360000 has 280 divisors, whose sum is σ = 3345379136. Its totient is φ = 380160000.

The previous prime is 1144359991. The next prime is 1144360027. The reversal of 1144360000 is 634411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 1144360000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17079967 + ... + 17080033.

Almost surely, 2^1144360000 is an apocalyptic number.

1144360000 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 1144360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672689568).

1144360000 is an abundant number, since it is smaller than the sum of its proper divisors (2201019136).

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

1144360000 is an frugal number, since it uses more digits than its factorization.

1144360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1144360000 is about 33828.3904435313. The cubic root of 1144360000 is about 1045.9740008917.

Adding to 1144360000 its reverse (634411), we get a palindrome (1144994411).

The spelling of 1144360000 in words is "one billion, one hundred forty-four million, three hundred sixty thousand".