4144456160 has 48 divisors (see below), whose sum is σ = 10544458176. Its totient is φ = 1530259968.

The previous prime is 4144456153. The next prime is 4144456189. The reversal of 4144456160 is 616544414.

4144456160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4144456160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 994184 + ... + 998343.

It is an arithmetic number, because the mean of its divisors is an integer number (219676212).

Almost surely, 2^4144456160 is an apocalyptic number.

4144456160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144456160 is an abundant number, since it is smaller than the sum of its proper divisors (6400002016).

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

4144456160 is a wasteful number, since it uses less digits than its factorization.

4144456160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992555 (or 1992547 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 4144456160 is about 64377.4507106331. The cubic root of 4144456160 is about 1606.2846777779.

The spelling of 4144456160 in words is "four billion, one hundred forty-four million, four hundred fifty-six thousand, one hundred sixty".