1144441100 has 72 divisors (see below), whose sum is σ = 2736293616. Its totient is φ = 412000000.

The previous prime is 1144441091. The next prime is 1144441141. The reversal of 1144441100 is 11444411.

It is a happy number.

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105950 + ... + 116250.

It is an arithmetic number, because the mean of its divisors is an integer number (38004078).

Almost surely, 2^1144441100 is an apocalyptic number.

1144441100 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 1144441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368146808).

1144441100 is an abundant number, since it is smaller than the sum of its proper divisors (1591852516).

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

1144441100 is a wasteful number, since it uses less digits than its factorization.

1144441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10427 (or 10420 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1144441100 is about 33829.5891195858. The cubic root of 1144441100 is about 1045.9987094588.

Adding to 1144441100 its reverse (11444411), we get a palindrome (1155885511).

1144441100 divided by its reverse (11444411) gives a square (100 = 10²).

It can be divided in two parts, 114444 and 1100, that multiplied together give a square (125888400 = 11220²).

The spelling of 1144441100 in words is "one billion, one hundred forty-four million, four hundred forty-one thousand, one hundred".