4144004532 has 72 divisors (see below), whose sum is σ = 10891881000. Its totient is φ = 1326866688.

The previous prime is 4144004497. The next prime is 4144004533. The reversal of 4144004532 is 2354004414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1743396516 + 2400608016 = 41754^2 + 48996^2 .

It is a super-2 number, since 2×4144004532² = 34345547122473078048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4144004496 and 4144004505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144004533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195594 + ... + 215742.

It is an arithmetic number, because the mean of its divisors is an integer number (151276125).

Almost surely, 2^4144004532 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 4144004532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445940500).

4144004532 is an abundant number, since it is smaller than the sum of its proper divisors (6747876468).

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

4144004532 is a wasteful number, since it uses less digits than its factorization.

4144004532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20385 (or 20380 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4144004532 is about 64373.9429583119. The cubic root of 4144004532 is about 1606.2263291904.

Adding to 4144004532 its reverse (2354004414), we get a palindrome (6498008946).

The spelling of 4144004532 in words is "four billion, one hundred forty-four million, four thousand, five hundred thirty-two".