4200144444 has 72 divisors (see below), whose sum is σ = 10785011328. Its totient is φ = 1377966240.

The previous prime is 4200144433. The next prime is 4200144449. The reversal of 4200144444 is 4444410024.

4200144444 is a `hidden beast` number, since 4 + 200 + 14 + 4 + 444 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200144449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2112819 + ... + 2114805.

It is an arithmetic number, because the mean of its divisors is an integer number (149791824).

Almost surely, 2^4200144444 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 4200144444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392505664).

4200144444 is an abundant number, since it is smaller than the sum of its proper divisors (6584866884).

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

4200144444 is a wasteful number, since it uses less digits than its factorization.

4200144444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4200144444 is about 64808.5213841513. The cubic root of 4200144444 is about 1613.4471418512.

Adding to 4200144444 its reverse (4444410024), we get a palindrome (8644554468).

The spelling of 4200144444 in words is "four billion, two hundred million, one hundred forty-four thousand, four hundred forty-four".