4400105160 has 128 divisors (see below), whose sum is σ = 15026549760. Its totient is φ = 1020307200.

The previous prime is 4400105089. The next prime is 4400105167. The reversal of 4400105160 is 615010044.

4400105160 is a modest number, since divided by 105160 gives 440 as remainder.

It is not an unprimeable number, because it can be changed into a prime (4400105167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42106 + ... + 102825.

It is an arithmetic number, because the mean of its divisors is an integer number (117394920).

Almost surely, 2^4400105160 is an apocalyptic number.

4400105160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400105160 is an abundant number, since it is smaller than the sum of its proper divisors (10626444600).

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

4400105160 is a wasteful number, since it uses less digits than its factorization.

4400105160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144979 (or 144975 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4400105160 is about 66333.2884756967. The cubic root of 4400105160 is about 1638.6555956162.

The spelling of 4400105160 in words is "four billion, four hundred million, one hundred five thousand, one hundred sixty".