4296112128 has 384 divisors, whose sum is σ = 15882048000. Its totient is φ = 1114767360.

The previous prime is 4296112103. The next prime is 4296112129. The reversal of 4296112128 is 8212116924.

4296112128 is a `hidden beast` number, since 4 + 29 + 611 + 2 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4296112092 and 4296112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4296112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4257288 + ... + 4258296.

It is an arithmetic number, because the mean of its divisors is an integer number (41359500).

Almost surely, 2^4296112128 is an apocalyptic number.

4296112128 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 4296112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7941024000).

4296112128 is an abundant number, since it is smaller than the sum of its proper divisors (11585935872).

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

4296112128 is a wasteful number, since it uses less digits than its factorization.

4296112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1032 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 4296112128 is about 65544.7337930363. The cubic root of 4296112128 is about 1625.6430910106.

The spelling of 4296112128 in words is "four billion, two hundred ninety-six million, one hundred twelve thousand, one hundred twenty-eight".