4033004004 has 18 divisors (see below), whose sum is σ = 10194537990. Its totient is φ = 1344334656.

The previous prime is 4033003979. The next prime is 4033004021. The reversal of 4033004004 is 4004003304.

It can be written as a sum of positive squares in only one way, i.e., 3739567104 + 293436900 = 61152^2 + 17130^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56013909 + ... + 56013980.

Almost surely, 2^4033004004 is an apocalyptic number.

It is an amenable number.

4033004004 is an abundant number, since it is smaller than the sum of its proper divisors (6161533986).

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

4033004004 is a wasteful number, since it uses less digits than its factorization.

4033004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112027899 (or 112027894 counting only the distinct ones).

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

The square root of 4033004004 is about 63505.9367618493. The cubic root of 4033004004 is about 1591.7549816309.

Adding to 4033004004 its reverse (4004003304), we get a palindrome (8037007308).

The spelling of 4033004004 in words is "four billion, thirty-three million, four thousand, four".