4138141384 has 16 divisors (see below), whose sum is σ = 8355862620. Its totient is φ = 1909911360.

The previous prime is 4138141379. The next prime is 4138141391. The reversal of 4138141384 is 4831418314.

4138141384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4133204100 + 4937284 = 64290^2 + 2222^2 .

It is a super-3 number, since 3×4138141384³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19894807 + ... + 19895014.

Almost surely, 2^4138141384 is an apocalyptic number.

It is an amenable number.

4138141384 is an abundant number, since it is smaller than the sum of its proper divisors (4217721236).

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

4138141384 is a wasteful number, since it uses less digits than its factorization.

4138141384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39789840 (or 39789836 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 4138141384 is about 64328.3870775570. The cubic root of 4138141384 is about 1605.4684481292.

Adding to 4138141384 its reverse (4831418314), we get a palindrome (8969559698).

The spelling of 4138141384 in words is "four billion, one hundred thirty-eight million, one hundred forty-one thousand, three hundred eighty-four".