4105044160 has 112 divisors (see below), whose sum is σ = 11241121536. Its totient is φ = 1398684672.

The previous prime is 4105044137. The next prime is 4105044197. The reversal of 4105044160 is 614405014.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359499 + ... + 370741.

Almost surely, 2^4105044160 is an apocalyptic number.

4105044160 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 4105044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620560768).

4105044160 is an abundant number, since it is smaller than the sum of its proper divisors (7136077376).

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

4105044160 is a wasteful number, since it uses less digits than its factorization.

4105044160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11430 (or 11420 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4105044160 is about 64070.6185392337. The cubic root of 4105044160 is about 1601.1767593113.

Adding to 4105044160 its reverse (614405014), we get a palindrome (4719449174).

The spelling of 4105044160 in words is "four billion, one hundred five million, forty-four thousand, one hundred sixty".