4118310634464 has 144 divisors (see below), whose sum is σ = 13019175921024. Its totient is φ = 1226295936000.

The previous prime is 4118310634441. The next prime is 4118310634531. The reversal of 4118310634464 is 4644360138114.

4118310634464 is a `hidden beast` number, since 4 + 1 + 1 + 8 + 3 + 1 + 0 + 634 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17625487 + ... + 17857614.

It is an arithmetic number, because the mean of its divisors is an integer number (90410943896).

Almost surely, 2^{4118310634464} is an apocalyptic number.

It is an amenable number.

4118310634464 is an abundant number, since it is smaller than the sum of its proper divisors (8900865286560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4118310634464 is a wasteful number, since it uses less digits than its factorization.

4118310634464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35483161 (or 35483150 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 4118310634464 in words is "four trillion, one hundred eighteen billion, three hundred ten million, six hundred thirty-four thousand, four hundred sixty-four".