4115432448 has 308 divisors, whose sum is σ = 12753014700. Its totient is φ = 1325776896.

The previous prime is 4115432417. The next prime is 4115432467. The reversal of 4115432448 is 8442345114.

It can be written as a sum of positive squares in 2 ways, for example, as 2096907264 + 2018525184 = 45792^2 + 44928^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27620278 + ... + 27620426.

Almost surely, 2^4115432448 is an apocalyptic number.

4115432448 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 4115432448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376507350).

4115432448 is an abundant number, since it is smaller than the sum of its proper divisors (8637582252).

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

4115432448 is an equidigital number, since it uses as much as digits as its factorization.

4115432448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 191 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 4115432448 is about 64151.6363626057. The cubic root of 4115432448 is about 1602.5262757740.

The spelling of 4115432448 in words is "four billion, one hundred fifteen million, four hundred thirty-two thousand, four hundred forty-eight".