4004004040405 has 16 divisors (see below), whose sum is σ = 4909904737920. Its totient is φ = 3133886015808.

The previous prime is 4004004040403. The next prime is 4004004040411. The reversal of 4004004040405 is 5040404004004.

It is a cyclic number.

It is not a de Polignac number, because 4004004040405 - 2¹ = 4004004040403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4004004040405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004004040403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46793190 + ... + 46878679.

It is an arithmetic number, because the mean of its divisors is an integer number (306869046120).

Almost surely, 2^{4004004040405} is an apocalyptic number.

It is an amenable number.

4004004040405 is a deficient number, since it is larger than the sum of its proper divisors (905900697515).

4004004040405 is a wasteful number, since it uses less digits than its factorization.

4004004040405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93672060.

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 4004004040405 its reverse (5040404004004), we get a palindrome (9044408044409).

The spelling of 4004004040405 in words is "four trillion, four billion, four million, forty thousand, four hundred five".