4414165632 has 320 divisors, whose sum is σ = 13895857800. Its totient is φ = 1388814336.

The previous prime is 4414165627. The next prime is 4414165643. The reversal of 4414165632 is 2365614144.

4414165632 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 16 + 5 + 632 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3597120576 + 817045056 = 59976^2 + 28584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15935478 + ... + 15935754.

Almost surely, 2^4414165632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4414165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947928900).

4414165632 is an abundant number, since it is smaller than the sum of its proper divisors (9481692168).

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

4414165632 is a wasteful number, since it uses less digits than its factorization.

4414165632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 364 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4414165632 is about 66439.1874724548. The cubic root of 4414165632 is about 1640.3991731097.

Adding to 4414165632 its reverse (2365614144), we get a palindrome (6779779776).

The spelling of 4414165632 in words is "four billion, four hundred fourteen million, one hundred sixty-five thousand, six hundred thirty-two".