4144111200 has 288 divisors, whose sum is σ = 15088096800. Its totient is φ = 1097717760.

The previous prime is 4144111193. The next prime is 4144111201. The reversal of 4144111200 is 21114414.

4144111200 is a `hidden beast` number, since 414 + 41 + 11 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144111201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3736246 + ... + 3737354.

It is an arithmetic number, because the mean of its divisors is an integer number (52389225).

Almost surely, 2^4144111200 is an apocalyptic number.

4144111200 is a gapful number since it is divisible by the number (40) 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 4144111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544048400).

4144111200 is an abundant number, since it is smaller than the sum of its proper divisors (10943985600).

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

4144111200 is a wasteful number, since it uses less digits than its factorization.

4144111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4144111200 is about 64374.7714559050. The cubic root of 4144111200 is about 1606.2401106650.

Adding to 4144111200 its reverse (21114414), we get a palindrome (4165225614).

The spelling of 4144111200 in words is "four billion, one hundred forty-four million, one hundred eleven thousand, two hundred".