4138663859712 has 400 divisors, whose sum is σ = 12921091425792. Its totient is φ = 1316381552640.

The previous prime is 4138663859699. The next prime is 4138663859773. The reversal of 4138663859712 is 2179583668314.

4138663859712 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 6 + 6 + 38 + 597 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4138663859712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 411106903 + ... + 411116969.

Almost surely, 2^{4138663859712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138663859712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6460545712896).

4138663859712 is an abundant number, since it is smaller than the sum of its proper divisors (8782427566080).

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

4138663859712 is a wasteful number, since it uses less digits than its factorization.

4138663859712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10551 (or 10526 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 4138663859712 in words is "four trillion, one hundred thirty-eight billion, six hundred sixty-three million, eight hundred fifty-nine thousand, seven hundred twelve".