4128685440 has 256 divisors, whose sum is σ = 14435366400. Its totient is φ = 995409920.

The previous prime is 4128685423. The next prime is 4128685453. The reversal of 4128685440 is 445868214.

4128685440 is digitally balanced in base 2 and base 4, because in such bases 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 = 4128685392 and 4128685401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4920541 + ... + 4921379.

It is an arithmetic number, because the mean of its divisors is an integer number (56388150).

Almost surely, 2^4128685440 is an apocalyptic number.

4128685440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4128685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217683200).

4128685440 is an abundant number, since it is smaller than the sum of its proper divisors (10306680960).

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

4128685440 is a wasteful number, since it uses less digits than its factorization.

4128685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 4128685440 is about 64254.8475992279. The cubic root of 4128685440 is about 1604.2446460712.

The spelling of 4128685440 in words is "four billion, one hundred twenty-eight million, six hundred eighty-five thousand, four hundred forty".