4144252200 has 192 divisors, whose sum is σ = 14156147520. Its totient is φ = 994560000.

The previous prime is 4144252199. The next prime is 4144252223. The reversal of 4144252200 is 22524414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663492 + ... + 669708.

It is an arithmetic number, because the mean of its divisors is an integer number (73729935).

Almost surely, 2^4144252200 is an apocalyptic number.

4144252200 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 4144252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078073760).

4144252200 is an abundant number, since it is smaller than the sum of its proper divisors (10011895320).

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

4144252200 is a wasteful number, since it uses less digits than its factorization.

4144252200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6348 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4144252200 is about 64375.8665961088. The cubic root of 4144252200 is about 1606.2583274612.

Adding to 4144252200 its reverse (22524414), we get a palindrome (4166776614).

The spelling of 4144252200 in words is "four billion, one hundred forty-four million, two hundred fifty-two thousand, two hundred".