1144414100 has 36 divisors (see below), whose sum is σ = 2484895644. Its totient is φ = 457486080.

The previous prime is 1144414081. The next prime is 1144414111. The reversal of 1144414100 is 14144411.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 49730704 + 1094683396 = 7052^2 + 33086^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259514 + ... + 263886.

It is an arithmetic number, because the mean of its divisors is an integer number (69024879).

Almost surely, 2^1144414100 is an apocalyptic number.

1144414100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144414100 is an abundant number, since it is smaller than the sum of its proper divisors (1340481544).

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

1144414100 is a wasteful number, since it uses less digits than its factorization.

1144414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7004 (or 6997 counting only the distinct ones).

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

The square root of 1144414100 is about 33829.1900582914. The cubic root of 1144414100 is about 1045.9904835550.

Adding to 1144414100 its reverse (14144411), we get a palindrome (1158558511).

The spelling of 1144414100 in words is "one billion, one hundred forty-four million, four hundred fourteen thousand, one hundred".