4002004024 has 32 divisors (see below), whose sum is σ = 7821066240. Its totient is φ = 1917640800.

The previous prime is 4002004021. The next prime is 4002004037. The reversal of 4002004024 is 4204002004.

It is a super-2 number, since 2×4002004024² = 32032072416224385152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4002003989 and 4002004007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002004021) by changing a digit.

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, 52792 + ... + 103879.

It is an arithmetic number, because the mean of its divisors is an integer number (244408320).

Almost surely, 2^4002004024 is an apocalyptic number.

It is an amenable number.

4002004024 is a deficient number, since it is larger than the sum of its proper divisors (3819062216).

4002004024 is a wasteful number, since it uses less digits than its factorization.

4002004024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156811 (or 156807 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4002004024 is about 63261.3944202940. The cubic root of 4002004024 is about 1587.6661068589. Note that the first 3 decimals are identical.

Adding to 4002004024 its reverse (4204002004), we get a palindrome (8206006028).

The spelling of 4002004024 in words is "four billion, two million, four thousand, twenty-four".