4004004040034 has 8 divisors (see below), whose sum is σ = 6006391576668. Its totient is φ = 2001873514480.

The previous prime is 4004004040033. The next prime is 4004004040037. The reversal of 4004004040034 is 4300404004004.

It can be written as a sum of positive squares in 2 ways, for example, as 3471756460225 + 532247579809 = 1863265^2 + 729553^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4004004039991 and 4004004040009.

It is not an unprimeable number, because it can be changed into a prime (4004004040031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64213817 + ... + 64276140.

Almost surely, 2^{4004004040034} is an apocalyptic number.

4004004040034 is a deficient number, since it is larger than the sum of its proper divisors (2002387536634).

4004004040034 is a wasteful number, since it uses less digits than its factorization.

4004004040034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128505540.

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 4004004040034 its reverse (4300404004004), we get a palindrome (8304408044038).

The spelling of 4004004040034 in words is "four trillion, four billion, four million, forty thousand, thirty-four", and thus it is an eban number.