4144726160 has 20 divisors (see below), whose sum is σ = 9636488508. Its totient is φ = 1657890432.

The previous prime is 4144726151. The next prime is 4144726169. The reversal of 4144726160 is 616274414.

It is an interprime number because it is at equal distance from previous prime (4144726151) and next prime (4144726169).

It can be written as a sum of positive squares in 2 ways, for example, as 3166537984 + 978188176 = 56272^2 + 31276^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 4144726160.

It is not an unprimeable number, because it can be changed into a prime (4144726169) 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 3 ways as a sum of consecutive naturals, for example, 25904459 + ... + 25904618.

Almost surely, 2^4144726160 is an apocalyptic number.

4144726160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144726160 is an abundant number, since it is smaller than the sum of its proper divisors (5491762348).

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

4144726160 is a wasteful number, since it uses less digits than its factorization.

4144726160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51809090 (or 51809084 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 4144726160 is about 64379.5476840277. The cubic root of 4144726160 is about 1606.3195587070.

The spelling of 4144726160 in words is "four billion, one hundred forty-four million, seven hundred twenty-six thousand, one hundred sixty".