4111982784 has 336 divisors, whose sum is σ = 14811451200. Its totient is φ = 1083801600.

The previous prime is 4111982779. The next prime is 4111982807. The reversal of 4111982784 is 4872891114.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2567584 + ... + 2569184.

It is an arithmetic number, because the mean of its divisors is an integer number (44081700).

Almost surely, 2^4111982784 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 4111982784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405725600).

4111982784 is an abundant number, since it is smaller than the sum of its proper divisors (10699468416).

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

4111982784 is a wasteful number, since it uses less digits than its factorization.

4111982784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1626 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 4111982784 is about 64124.7439293133. The cubic root of 4111982784 is about 1602.0783906803.

The spelling of 4111982784 in words is "four billion, one hundred eleven million, nine hundred eighty-two thousand, seven hundred eighty-four".