4059734016 has 224 divisors, whose sum is σ = 11868107328. Its totient is φ = 1226833920.

The previous prime is 4059733999. The next prime is 4059734059. The reversal of 4059734016 is 6104379504.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 30990271 + ... + 30990401.

It is an arithmetic number, because the mean of its divisors is an integer number (52982622).

Almost surely, 2^4059734016 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 4059734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5934053664).

4059734016 is an abundant number, since it is smaller than the sum of its proper divisors (7808373312).

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

4059734016 is a wasteful number, since it uses less digits than its factorization.

4059734016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 4059734016 is about 63716.0420616347. The cubic root of 4059734016 is about 1595.2638611173.

The spelling of 4059734016 in words is "four billion, fifty-nine million, seven hundred thirty-four thousand, sixteen".