4413479616 has 672 divisors, whose sum is σ = 17135124480. Its totient is φ = 1086898176.

The previous prime is 4413479527. The next prime is 4413479617. The reversal of 4413479616 is 6169743144.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4413479617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34751745 + ... + 34751871.

Almost surely, 2^4413479616 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 4413479616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8567562240).

4413479616 is an abundant number, since it is smaller than the sum of its proper divisors (12721644864).

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

4413479616 is a wasteful number, since it uses less digits than its factorization.

4413479616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 169 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 4413479616 is about 66434.0245356248. The cubic root of 4413479616 is about 1640.3141892588.

The spelling of 4413479616 in words is "four billion, four hundred thirteen million, four hundred seventy-nine thousand, six hundred sixteen".