4101616160 has 48 divisors (see below), whose sum is σ = 10024219800. Its totient is φ = 1584070656.

The previous prime is 4101616159. The next prime is 4101616177. The reversal of 4101616160 is 616161014.

It can be written as a sum of positive squares in 4 ways, for example, as 3565045264 + 536570896 = 59708^2 + 23164^2 .

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, 437345 + ... + 446624.

Almost surely, 2^4101616160 is an apocalyptic number.

4101616160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4101616160 is an abundant number, since it is smaller than the sum of its proper divisors (5922603640).

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

4101616160 is a wasteful number, since it uses less digits than its factorization.

4101616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884013 (or 884005 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 4101616160 is about 64043.8612202606. The cubic root of 4101616160 is about 1600.7309368645.

Adding to 4101616160 its reverse (616161014), we get a palindrome (4717777174).

The spelling of 4101616160 in words is "four billion, one hundred one million, six hundred sixteen thousand, one hundred sixty".