4078775448 has 288 divisors, whose sum is σ = 13114810800. Its totient is φ = 1140480000.

The previous prime is 4078775447. The next prime is 4078775453. The reversal of 4078775448 is 8445778704.

4078775448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4078775394 and 4078775403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4078775443) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6786348 + ... + 6786948.

Almost surely, 2^4078775448 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 4078775448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557405400).

4078775448 is an abundant number, since it is smaller than the sum of its proper divisors (9036035352).

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

4078775448 is a wasteful number, since it uses less digits than its factorization.

4078775448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 54.

The square root of 4078775448 is about 63865.2914187354. The cubic root of 4078775448 is about 1597.7540686370.

The spelling of 4078775448 in words is "four billion, seventy-eight million, seven hundred seventy-five thousand, four hundred forty-eight".