2004414312411 has 72 divisors (see below), whose sum is σ = 3414997912560. Its totient is φ = 1129391714304.

The previous prime is 2004414312409. The next prime is 2004414312427. The reversal of 2004414312411 is 1142134144002.

2004414312411 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 414 + 3 + 1 + 241 + 1 = 666.

It is not a de Polignac number, because 2004414312411 - 2¹ = 2004414312409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2004414310411) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 191639700 + ... + 191650158.

Almost surely, 2^{2004414312411} is an apocalyptic number.

2004414312411 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2004414312411 is a deficient number, since it is larger than the sum of its proper divisors (1410583600149).

2004414312411 is a wasteful number, since it uses less digits than its factorization.

2004414312411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16505 (or 16495 counting only the distinct ones).

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

Adding to 2004414312411 its reverse (1142134144002), we get a palindrome (3146548456413).

The spelling of 2004414312411 in words is "two trillion, four billion, four hundred fourteen million, three hundred twelve thousand, four hundred eleven".