4111891056 has 360 divisors, whose sum is σ = 15050599200. Its totient is φ = 1036772352.

The previous prime is 4111891037. The next prime is 4111891081. The reversal of 4111891056 is 6501981114.

It is a happy number.

4111891056 is a `hidden beast` number, since 411 + 189 + 10 + 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 4111891056.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2108770 + ... + 2110718.

It is an arithmetic number, because the mean of its divisors is an integer number (41807220).

Almost surely, 2^4111891056 is an apocalyptic number.

4111891056 is a gapful number since it is divisible by the number (46) 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 4111891056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7525299600).

4111891056 is an abundant number, since it is smaller than the sum of its proper divisors (10938708144).

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

4111891056 is a wasteful number, since it uses less digits than its factorization.

4111891056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 4111891056 is about 64124.0286943982. The cubic root of 4111891056 is about 1602.0664778110.

The spelling of 4111891056 in words is "four billion, one hundred eleven million, eight hundred ninety-one thousand, fifty-six".