4138446816 has 240 divisors, whose sum is σ = 14729099616. Its totient is φ = 1112776704.

The previous prime is 4138446749. The next prime is 4138446857. The reversal of 4138446816 is 6186448314.

It is a super-3 number, since 3×4138446816³ (a number of 30 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 301740 + ... + 315156.

Almost surely, 2^4138446816 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 4138446816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7364549808).

4138446816 is an abundant number, since it is smaller than the sum of its proper divisors (10590652800).

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

4138446816 is a wasteful number, since it uses less digits than its factorization.

4138446816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13463 (or 13446 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 4138446816 is about 64330.7610401121. The cubic root of 4138446816 is about 1605.5079464877.

The spelling of 4138446816 in words is "four billion, one hundred thirty-eight million, four hundred forty-six thousand, eight hundred sixteen".