4111233984 has 672 divisors, whose sum is σ = 15177576960. Its totient is φ = 1045094400.

The previous prime is 4111233953. The next prime is 4111233989. The reversal of 4111233984 is 4893321114.

4111233984 is a `hidden beast` number, since 411 + 1 + 233 + 9 + 8 + 4 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111233989) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57904669 + ... + 57904739.

It is an arithmetic number, because the mean of its divisors is an integer number (22585680).

Almost surely, 2^4111233984 is an apocalyptic number.

4111233984 is a gapful number since it is divisible by the number (44) 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 4111233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588788480).

4111233984 is an abundant number, since it is smaller than the sum of its proper divisors (11066342976).

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

4111233984 is a wasteful number, since it uses less digits than its factorization.

4111233984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 4111233984 is about 64118.9050436765. The cubic root of 4111233984 is about 1601.9811375879.

The spelling of 4111233984 in words is "four billion, one hundred eleven million, two hundred thirty-three thousand, nine hundred eighty-four".