4144404160 has 112 divisors (see below), whose sum is σ = 11253374496. Its totient is φ = 1440202752.

The previous prime is 4144404137. The next prime is 4144404161. The reversal of 4144404160 is 614044414.

It is not an unprimeable number, because it can be changed into a prime (4144404161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41419 + ... + 100021.

It is an arithmetic number, because the mean of its divisors is an integer number (100476558).

Almost surely, 2^4144404160 is an apocalyptic number.

4144404160 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 4144404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626687248).

4144404160 is an abundant number, since it is smaller than the sum of its proper divisors (7108970336).

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

4144404160 is a wasteful number, since it uses less digits than its factorization.

4144404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58650 (or 58640 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 4144404160 is about 64377.0468412461. The cubic root of 4144404160 is about 1606.2779597953.

Adding to 4144404160 its reverse (614044414), we get a palindrome (4758448574).

The spelling of 4144404160 in words is "four billion, one hundred forty-four million, four hundred four thousand, one hundred sixty".