4144313520 has 120 divisors (see below), whose sum is σ = 13935108096. Its totient is φ = 1103791104.

The previous prime is 4144313491. The next prime is 4144313521. The reversal of 4144313520 is 253134414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (4144313521) 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, 671569 + ... + 677711.

Almost surely, 2^4144313520 is an apocalyptic number.

4144313520 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 4144313520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967554048).

4144313520 is an abundant number, since it is smaller than the sum of its proper divisors (9790794576).

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

4144313520 is a wasteful number, since it uses less digits than its factorization.

4144313520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7099 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4144313520 is about 64376.3428597804. The cubic root of 4144313520 is about 1606.2662497006.

Adding to 4144313520 its reverse (253134414), we get a palindrome (4397447934).

The spelling of 4144313520 in words is "four billion, one hundred forty-four million, three hundred thirteen thousand, five hundred twenty".