4004033404041 has 40 divisors (see below), whose sum is σ = 6525416798208. Its totient is φ = 2426565924000.

The previous prime is 4004033404037. The next prime is 4004033404061. The reversal of 4004033404041 is 1404043304004.

It is not a de Polignac number, because 4004033404041 - 2² = 4004033404037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4004033403996 and 4004033404014.

It is not an unprimeable number, because it can be changed into a prime (4004033404031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19742571 + ... + 19944351.

Almost surely, 2^{4004033404041} is an apocalyptic number.

It is an amenable number.

4004033404041 is a deficient number, since it is larger than the sum of its proper divisors (2521383394167).

4004033404041 is a wasteful number, since it uses less digits than its factorization.

4004033404041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224075 (or 224066 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4004033404041 its reverse (1404043304004), we get a palindrome (5408076708045).

The spelling of 4004033404041 in words is "four trillion, four billion, thirty-three million, four hundred four thousand, forty-one".