2004414142311 has 12 divisors (see below), whose sum is σ = 3308874139792. Its totient is φ = 1145379509856.

The previous prime is 2004414142307. The next prime is 2004414142343. The reversal of 2004414142311 is 1132414144002.

2004414142311 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 414 + 14 + 231 + 1 = 666.

It is not a de Polignac number, because 2004414142311 - 2² = 2004414142307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004414142111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15908048686 + ... + 15908048811.

Almost surely, 2^{2004414142311} is an apocalyptic number.

2004414142311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2004414142311 is a deficient number, since it is larger than the sum of its proper divisors (1304459997481).

2004414142311 is a wasteful number, since it uses less digits than its factorization.

2004414142311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31816097510 (or 31816097507 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2004414142311 its reverse (1132414144002), we get a palindrome (3136828286313).

The spelling of 2004414142311 in words is "two trillion, four billion, four hundred fourteen million, one hundred forty-two thousand, three hundred eleven".