4020033020004 has 405 divisors, whose sum is σ = 11446373915977. Its totient is φ = 1230140907072.

The previous prime is 4020033019949. The next prime is 4020033020021. The reversal of 4020033020004 is 4000203300204.

The square root of 4020033020004 is 2005002.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2108007802404 + 1912025217600 = 1451898^2 + 1382760^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 24072053929 + ... + 24072054095.

Almost surely, 2^{4020033020004} is an apocalyptic number.

4020033020004 is the 2005002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020033020004

4020033020004 is an abundant number, since it is smaller than the sum of its proper divisors (7426340895973).

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

4020033020004 is a wasteful number, since it uses less digits than its factorization.

4020033020004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 4020033020004 its reverse (4000203300204), we get a palindrome (8020236320208).

The spelling of 4020033020004 in words is "four trillion, twenty billion, thirty-three million, twenty thousand, four".