4006686073338 has 64 divisors (see below), whose sum is σ = 9644076449280. Its totient is φ = 1225700282304.

The previous prime is 4006686073331. The next prime is 4006686073393. The reversal of 4006686073338 is 8333706866004.

4006686073338 is a `hidden beast` number, since 400 + 66 + 86 + 0 + 73 + 3 + 38 = 666.

4006686073338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4006686073338² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4006686073331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16374306 + ... + 16617197.

It is an arithmetic number, because the mean of its divisors is an integer number (150688694520).

Almost surely, 2^{4006686073338} is an apocalyptic number.

4006686073338 is an abundant number, since it is smaller than the sum of its proper divisors (5637390375942).

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

4006686073338 is a wasteful number, since it uses less digits than its factorization.

4006686073338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32991700 (or 32991694 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 4006686073338 in words is "four trillion, six billion, six hundred eighty-six million, seventy-three thousand, three hundred thirty-eight".