4416116144 has 20 divisors (see below), whose sum is σ = 9334064040. Its totient is φ = 2007325440.

The previous prime is 4416116123. The next prime is 4416116153.

4416116144 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4416116144.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12545609 + ... + 12545960.

It is an arithmetic number, because the mean of its divisors is an integer number (466703202).

Almost surely, 2^4416116144 is an apocalyptic number.

4416116144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4416116144 is an abundant number, since it is smaller than the sum of its proper divisors (4917947896).

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

4416116144 is a wasteful number, since it uses less digits than its factorization.

4416116144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25091588 (or 25091582 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 4416116144 is about 66453.8647785063. The cubic root of 4416116144 is about 1640.6407549757.

The spelling of 4416116144 in words is "four billion, four hundred sixteen million, one hundred sixteen thousand, one hundred forty-four".