4115822256 has 480 divisors, whose sum is σ = 15223470080. Its totient is φ = 1007769600.

The previous prime is 4115822231. The next prime is 4115822257. The reversal of 4115822256 is 6522285114.

4115822256 is a `hidden beast` number, since 4 + 1 + 1 + 582 + 22 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4115822256.

It is not an unprimeable number, because it can be changed into a prime (4115822257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15187401 + ... + 15187671.

Almost surely, 2^4115822256 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 4115822256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611735040).

4115822256 is an abundant number, since it is smaller than the sum of its proper divisors (11107647824).

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

4115822256 is a wasteful number, since it uses less digits than its factorization.

4115822256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 4115822256 is about 64154.6744672592. The cubic root of 4115822256 is about 1602.5768705251.

The spelling of 4115822256 in words is "four billion, one hundred fifteen million, eight hundred twenty-two thousand, two hundred fifty-six".