4200144 has 80 divisors (see below), whose sum is σ = 11999232. Its totient is φ = 1257984.

The previous prime is 4200143. The next prime is 4200149. The reversal of 4200144 is 4410024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33009 + ... + 33135.

Almost surely, 2^4200144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999616).

4200144 is an abundant number, since it is smaller than the sum of its proper divisors (7799088).

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

4200144 is a wasteful number, since it uses less digits than its factorization.

4200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4200144 is about 2049.4252852934. The cubic root of 4200144 is about 161.3447084998.

Adding to 4200144 its reverse (4410024), we get a palindrome (8610168).

The spelling of 4200144 in words is "four million, two hundred thousand, one hundred forty-four".