4404366160 has 80 divisors (see below), whose sum is σ = 10525933440. Its totient is φ = 1712954880.

The previous prime is 4404366119. The next prime is 4404366167. The reversal of 4404366160 is 616634044.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404366167) 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, 784965 + ... + 790555.

It is an arithmetic number, because the mean of its divisors is an integer number (131574168).

Almost surely, 2^4404366160 is an apocalyptic number.

4404366160 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 4404366160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5262966720).

4404366160 is an abundant number, since it is smaller than the sum of its proper divisors (6121567280).

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

4404366160 is a wasteful number, since it uses less digits than its factorization.

4404366160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5876 (or 5870 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 4404366160 is about 66365.3988159493. The cubic root of 4404366160 is about 1639.1843753153.

The spelling of 4404366160 in words is "four billion, four hundred four million, three hundred sixty-six thousand, one hundred sixty".