4006333072 has 40 divisors (see below), whose sum is σ = 9003588416. Its totient is φ = 1691369856.

The previous prime is 4006333069. The next prime is 4006333099. The reversal of 4006333072 is 2703336004.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4006333072.

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 7 ways as a sum of consecutive naturals, for example, 259443 + ... + 274450.

Almost surely, 2^4006333072 is an apocalyptic number.

It is an amenable number.

4006333072 is an abundant number, since it is smaller than the sum of its proper divisors (4997255344).

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

4006333072 is a wasteful number, since it uses less digits than its factorization.

4006333072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533975 (or 533969 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 28.

The square root of 4006333072 is about 63295.6007318044. The cubic root of 4006333072 is about 1588.2383706532.

Adding to 4006333072 its reverse (2703336004), we get a palindrome (6709669076).

The spelling of 4006333072 in words is "four billion, six million, three hundred thirty-three thousand, seventy-two".