4006443852 has 72 divisors (see below), whose sum is σ = 10345280400. Its totient is φ = 1306954368.

The previous prime is 4006443851. The next prime is 4006443913. The reversal of 4006443852 is 2583446004.

4006443852 is a `hidden beast` number, since 4 + 0 + 0 + 644 + 3 + 8 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4006443851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482278 + ... + 490514.

It is an arithmetic number, because the mean of its divisors is an integer number (143684450).

Almost surely, 2^4006443852 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 4006443852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172640200).

4006443852 is an abundant number, since it is smaller than the sum of its proper divisors (6338836548).

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

4006443852 is a wasteful number, since it uses less digits than its factorization.

4006443852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8535 (or 8530 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4006443852 is about 63296.4758260679. The cubic root of 4006443852 is about 1588.2530094282.

Adding to 4006443852 its reverse (2583446004), we get a palindrome (6589889856).

It can be divided in two parts, 400644 and 3852, that added together give a square (404496 = 636²).

The spelling of 4006443852 in words is "four billion, six million, four hundred forty-three thousand, eight hundred fifty-two".