4429168128 has 800 divisors, whose sum is σ = 17587088640. Its totient is φ = 1074954240.

The previous prime is 4429168123. The next prime is 4429168153. The reversal of 4429168128 is 8218619244.

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 (4429168123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60673500 + ... + 60673572.

Almost surely, 2^4429168128 is an apocalyptic number.

4429168128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4429168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8793544320).

4429168128 is an abundant number, since it is smaller than the sum of its proper divisors (13157920512).

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

4429168128 is a wasteful number, since it uses less digits than its factorization.

4429168128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 4429168128 is about 66551.9956725567. The cubic root of 4429168128 is about 1642.2554887167.

The spelling of 4429168128 in words is "four billion, four hundred twenty-nine million, one hundred sixty-eight thousand, one hundred twenty-eight".