4429165752 has 128 divisors (see below), whose sum is σ = 14005440000. Its totient is φ = 1283800320.

The previous prime is 4429165681. The next prime is 4429165759. The reversal of 4429165752 is 2575619244.

4429165752 is a `hidden beast` number, since 44 + 29 + 16 + 575 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4429165698 and 4429165707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4429165759) 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, 14124 + ... + 95172.

It is an arithmetic number, because the mean of its divisors is an integer number (109417500).

Almost surely, 2^4429165752 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 4429165752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7002720000).

4429165752 is an abundant number, since it is smaller than the sum of its proper divisors (9576274248).

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

4429165752 is a wasteful number, since it uses less digits than its factorization.

4429165752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81098 (or 81088 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 4429165752 is about 66551.9778218499. The cubic root of 4429165752 is about 1642.2551950574.

The spelling of 4429165752 in words is "four billion, four hundred twenty-nine million, one hundred sixty-five thousand, seven hundred fifty-two".