4044141200 has 120 divisors (see below), whose sum is σ = 10648648800. Its totient is φ = 1463756800.

The previous prime is 4044141197. The next prime is 4044141209. The reversal of 4044141200 is 21414404.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4044141209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 996776 + ... + 1000824.

It is an arithmetic number, because the mean of its divisors is an integer number (88738740).

Almost surely, 2^4044141200 is an apocalyptic number.

4044141200 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 4044141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324324400).

4044141200 is an abundant number, since it is smaller than the sum of its proper divisors (6604507600).

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

4044141200 is a wasteful number, since it uses less digits than its factorization.

4044141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4044141200 is about 63593.5625672914. The cubic root of 4044141200 is about 1593.2188527113.

Adding to 4044141200 its reverse (21414404), we get a palindrome (4065555604).

The spelling of 4044141200 in words is "four billion, forty-four million, one hundred forty-one thousand, two hundred".