4416434960 has 80 divisors (see below), whose sum is σ = 11883763200. Its totient is φ = 1495024128.

The previous prime is 4416434941. The next prime is 4416434977. The reversal of 4416434960 is 694346144.

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

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, 5675 + ... + 94154.

It is an arithmetic number, because the mean of its divisors is an integer number (148547040).

Almost surely, 2^4416434960 is an apocalyptic number.

4416434960 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 4416434960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941881600).

4416434960 is an abundant number, since it is smaller than the sum of its proper divisors (7467328240).

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

4416434960 is a wasteful number, since it uses less digits than its factorization.

4416434960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99928 (or 99922 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The square root of 4416434960 is about 66456.2635121777. The cubic root of 4416434960 is about 1640.6802353636.

The spelling of 4416434960 in words is "four billion, four hundred sixteen million, four hundred thirty-four thousand, nine hundred sixty".