1144110000 has 200 divisors, whose sum is σ = 4030259904. Its totient is φ = 277280000.

The previous prime is 1144109977. The next prime is 1144110029. The reversal of 1144110000 is 114411.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

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, 328267 + ... + 331733.

Almost surely, 2^1144110000 is an apocalyptic number.

1144110000 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 1144110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015129952).

1144110000 is an abundant number, since it is smaller than the sum of its proper divisors (2886149904).

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

1144110000 is a wasteful number, since it uses less digits than its factorization.

1144110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1144110000 is about 33824.6951205772. The cubic root of 1144110000 is about 1045.8978265687.

Adding to 1144110000 its reverse (114411), we get a palindrome (1144224411).

Multiplying 1144110000 by its reverse (114411), we get a square (130898769210000 = 11441100²).

1144110000 divided by its reverse (114411) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 114 and 4110000, that added together give a palindrome (4110114).

The spelling of 1144110000 in words is "one billion, one hundred forty-four million, one hundred ten thousand".