4239448416 has 384 divisors, whose sum is σ = 15095808000. Its totient is φ = 1130568192.

The previous prime is 4239448399. The next prime is 4239448441. The reversal of 4239448416 is 6148449324.

4239448416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 9077815 + ... + 9078281.

It is an arithmetic number, because the mean of its divisors is an integer number (39312000).

Almost surely, 2^4239448416 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 4239448416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547904000).

4239448416 is an abundant number, since it is smaller than the sum of its proper divisors (10856359584).

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

4239448416 is a wasteful number, since it uses less digits than its factorization.

4239448416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 577 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 4239448416 is about 65111.0468046706. The cubic root of 4239448416 is about 1618.4642785146.

The spelling of 4239448416 in words is "four billion, two hundred thirty-nine million, four hundred forty-eight thousand, four hundred sixteen".