4414976704 has 84 divisors (see below), whose sum is σ = 9628723440. Its totient is φ = 2005749760.

The previous prime is 4414976669. The next prime is 4414976773. The reversal of 4414976704 is 4076794144.

It is a happy number.

It is a super-3 number, since 3×4414976704³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 532269 + ... + 540499.

It is an arithmetic number, because the mean of its divisors is an integer number (114627660).

Almost surely, 2^4414976704 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 4414976704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814361720).

4414976704 is an abundant number, since it is smaller than the sum of its proper divisors (5213746736).

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

4414976704 is a wasteful number, since it uses less digits than its factorization.

4414976704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306 (or 8279 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The square root of 4414976704 is about 66445.2910596379. The cubic root of 4414976704 is about 1640.4996375741.

The spelling of 4414976704 in words is "four billion, four hundred fourteen million, nine hundred seventy-six thousand, seven hundred four".