4138871109257 has 16 divisors (see below), whose sum is σ = 4291794726912. Its totient is φ = 3988968080400.

The previous prime is 4138871109251. The next prime is 4138871109271. The reversal of 4138871109257 is 7529011788314.

4138871109257 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4138871109257 - 2¹⁰ = 4138871108233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4138871109251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530369 + ... + 2925582.

It is an arithmetic number, because the mean of its divisors is an integer number (268237170432).

Almost surely, 2^{4138871109257} is an apocalyptic number.

4138871109257 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

4138871109257 is a deficient number, since it is larger than the sum of its proper divisors (152923617655).

4138871109257 is a wasteful number, since it uses less digits than its factorization.

4138871109257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456388.

The product of its (nonzero) digits is 3386880, while the sum is 56.

The spelling of 4138871109257 in words is "four trillion, one hundred thirty-eight billion, eight hundred seventy-one million, one hundred nine thousand, two hundred fifty-seven".