4138816684056 has 128 divisors (see below), whose sum is σ = 10861457080320. Its totient is φ = 1312933474944.

The previous prime is 4138816684027. The next prime is 4138816684069. The reversal of 4138816684056 is 6504866188314.

It is a happy number.

It is a super-2 number, since 2×4138816684056² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10625071 + ... + 11007713.

It is an arithmetic number, because the mean of its divisors is an integer number (84855133440).

Almost surely, 2^{4138816684056} 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 4138816684056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5430728540160).

4138816684056 is an abundant number, since it is smaller than the sum of its proper divisors (6722640396264).

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

4138816684056 is a wasteful number, since it uses less digits than its factorization.

4138816684056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382965 (or 382961 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 4138816684056 in words is "four trillion, one hundred thirty-eight billion, eight hundred sixteen million, six hundred eighty-four thousand, fifty-six".