4283113824 has 288 divisors, whose sum is σ = 14291012736. Its totient is φ = 1202319360.

The previous prime is 4283113819. The next prime is 4283113847.

It is a happy number.

4283113824 is nontrivially palindromic in base 10.

4283113824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3607759 + ... + 3608945.

It is an arithmetic number, because the mean of its divisors is an integer number (49621572).

Almost surely, 2^4283113824 is an apocalyptic number.

4283113824 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 4283113824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7145506368).

4283113824 is an abundant number, since it is smaller than the sum of its proper divisors (10007898912).

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

4283113824 is a wasteful number, since it uses less digits than its factorization.

4283113824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1287 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4283113824 is about 65445.5027026304. The cubic root of 4283113824 is about 1624.0019210991.

The spelling of 4283113824 in words is "four billion, two hundred eighty-three million, one hundred thirteen thousand, eight hundred twenty-four".