4406255616 has 168 divisors, whose sum is σ = 13671285840. Its totient is φ = 1258586112.

The previous prime is 4406255599. The next prime is 4406255627. The reversal of 4406255616 is 6165526044.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1202395 + ... + 1206053.

Almost surely, 2^4406255616 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 4406255616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6835642920).

4406255616 is an abundant number, since it is smaller than the sum of its proper divisors (9265030224).

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

4406255616 is an equidigital number, since it uses as much as digits as its factorization.

4406255616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 4406255616 is about 66379.6325389046. The cubic root of 4406255616 is about 1639.4187430506.

The spelling of 4406255616 in words is "four billion, four hundred six million, two hundred fifty-five thousand, six hundred sixteen".