4138041872 has 80 divisors (see below), whose sum is σ = 8544012672. Its totient is φ = 1937295360.

The previous prime is 4138041829. The next prime is 4138041907. The reversal of 4138041872 is 2781408314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7564703 + ... + 7565249.

Almost surely, 2^4138041872 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 4138041872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272006336).

4138041872 is an abundant number, since it is smaller than the sum of its proper divisors (4405970800).

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

4138041872 is a wasteful number, since it uses less digits than its factorization.

4138041872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 4138041872 is about 64327.6136041125. The cubic root of 4138041872 is about 1605.4555788527.

The spelling of 4138041872 in words is "four billion, one hundred thirty-eight million, forty-one thousand, eight hundred seventy-two".