4004034021 has 54 divisors (see below), whose sum is σ = 6653515830. Its totient is φ = 2318823936.

The previous prime is 4004034017. The next prime is 4004034061. The reversal of 4004034021 is 1204304004.

It can be written as a sum of positive squares in 9 ways, for example, as 1698593796 + 2305440225 = 41214^2 + 48015^2 .

It is not a de Polignac number, because 4004034021 - 2² = 4004034017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4004033985 and 4004034003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004034061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 435015 + ... + 444123.

Almost surely, 2^4004034021 is an apocalyptic number.

It is an amenable number.

4004034021 is a deficient number, since it is larger than the sum of its proper divisors (2649481809).

4004034021 is a wasteful number, since it uses less digits than its factorization.

4004034021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9175 (or 9142 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4004034021 is about 63277.4369028961. The cubic root of 4004034021 is about 1587.9345067760.

Adding to 4004034021 its reverse (1204304004), we get a palindrome (5208338025).

The spelling of 4004034021 in words is "four billion, four million, thirty-four thousand, twenty-one".