4807442016 has 288 divisors, whose sum is σ = 16078083840. Its totient is φ = 1400799744.

The previous prime is 4807441979. The next prime is 4807442041. The reversal of 4807442016 is 6102447084.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×4807442016³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1919421 + ... + 1921923.

It is an arithmetic number, because the mean of its divisors is an integer number (55826680).

Almost surely, 2^4807442016 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 4807442016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8039041920).

4807442016 is an abundant number, since it is smaller than the sum of its proper divisors (11270641824).

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

4807442016 is a wasteful number, since it uses less digits than its factorization.

4807442016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4807442016 is about 69335.7196256013. The cubic root of 4807442016 is about 1687.7366636964.

The spelling of 4807442016 in words is "four billion, eight hundred seven million, four hundred forty-two thousand, sixteen".