4159769472 has 256 divisors, whose sum is σ = 12995942400. Its totient is φ = 1307750400.

The previous prime is 4159769413. The next prime is 4159769473. The reversal of 4159769472 is 2749679514.

4159769472 is a `hidden beast` number, since 4 + 1 + 597 + 6 + 9 + 47 + 2 = 666.

4159769472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4159769473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4392103 + ... + 4393049.

It is an arithmetic number, because the mean of its divisors is an integer number (50765400).

Almost surely, 2^4159769472 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 4159769472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497971200).

4159769472 is an abundant number, since it is smaller than the sum of its proper divisors (8836172928).

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

4159769472 is a wasteful number, since it uses less digits than its factorization.

4159769472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1024 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 4159769472 is about 64496.2748691736. The cubic root of 4159769472 is about 1608.2605948783.

The spelling of 4159769472 in words is "four billion, one hundred fifty-nine million, seven hundred sixty-nine thousand, four hundred seventy-two".