4144313020 has 48 divisors (see below), whose sum is σ = 9003738240. Its totient is φ = 1601109504.

The previous prime is 4144313011. The next prime is 4144313051. The reversal of 4144313020 is 203134414.

It is a junction number, because it is equal to n+sod(n) for n = 4144312982 and 4144313000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 80941 + ... + 121819.

It is an arithmetic number, because the mean of its divisors is an integer number (187577880).

Almost surely, 2^4144313020 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 4144313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501869120).

4144313020 is an abundant number, since it is smaller than the sum of its proper divisors (4859425220).

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

4144313020 is a wasteful number, since it uses less digits than its factorization.

4144313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41062 (or 41060 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4144313020 is about 64376.3389763662. The cubic root of 4144313020 is about 1606.2661851034.

Adding to 4144313020 its reverse (203134414), we get a palindrome (4347447434).

The spelling of 4144313020 in words is "four billion, one hundred forty-four million, three hundred thirteen thousand, twenty".