4138437472 has 96 divisors (see below), whose sum is σ = 9312226560. Its totient is φ = 1795791360.

The previous prime is 4138437389. The next prime is 4138437491. The reversal of 4138437472 is 2747348314.

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 15 ways as a sum of consecutive naturals, for example, 560847 + ... + 568177.

It is an arithmetic number, because the mean of its divisors is an integer number (97002360).

Almost surely, 2^4138437472 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 4138437472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656113280).

4138437472 is an abundant number, since it is smaller than the sum of its proper divisors (5173789088).

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

4138437472 is a wasteful number, since it uses less digits than its factorization.

4138437472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7436 (or 7428 counting only the distinct ones).

The product of its digits is 451584, while the sum is 43.

The square root of 4138437472 is about 64330.6884154056. The cubic root of 4138437472 is about 1605.5067381537.

The spelling of 4138437472 in words is "four billion, one hundred thirty-eight million, four hundred thirty-seven thousand, four hundred seventy-two".