4144045200 has 60 divisors (see below), whose sum is σ = 13274761968. Its totient is φ = 1105078400.

The previous prime is 4144045189. The next prime is 4144045201. The reversal of 4144045200 is 25404414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×4144045200² = 34346221239286080000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4144045201) 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 11 ways as a sum of consecutive naturals, for example, 1725486 + ... + 1727885.

Almost surely, 2^4144045200 is an apocalyptic number.

4144045200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144045200 is an abundant number, since it is smaller than the sum of its proper divisors (9130716768).

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

4144045200 is a wasteful number, since it uses less digits than its factorization.

4144045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453392 (or 3453381 counting only the distinct ones).

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

The square root of 4144045200 is about 64374.2588306848. The cubic root of 4144045200 is about 1606.2315835120.

Adding to 4144045200 its reverse (25404414), we get a palindrome (4169449614).

The spelling of 4144045200 in words is "four billion, one hundred forty-four million, forty-five thousand, two hundred".