4095112896 has 448 divisors, whose sum is σ = 14502952960. Its totient is φ = 1108546560.

The previous prime is 4095112891. The next prime is 4095112907. The reversal of 4095112896 is 6982115904.

4095112896 is a `hidden beast` number, since 40 + 9 + 511 + 2 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (4095112891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25123311 + ... + 25123473.

Almost surely, 2^4095112896 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 4095112896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251476480).

4095112896 is an abundant number, since it is smaller than the sum of its proper divisors (10407840064).

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

4095112896 is a wasteful number, since it uses less digits than its factorization.

4095112896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 4095112896 is about 63993.0691247107. The cubic root of 4095112896 is about 1599.8844833268.

The spelling of 4095112896 in words is "four billion, ninety-five million, one hundred twelve thousand, eight hundred ninety-six".