4256800128 has 560 divisors, whose sum is σ = 15613614300. Its totient is φ = 1152216576.

The previous prime is 4256800127. The next prime is 4256800133. The reversal of 4256800128 is 8210086524.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4256800092 and 4256800101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4256800127) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 224042103 + ... + 224042121.

Almost surely, 2^4256800128 is an apocalyptic number.

4256800128 is a gapful number since it is divisible by the number (48) 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 4256800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806807150).

4256800128 is an abundant number, since it is smaller than the sum of its proper divisors (11356814172).

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

4256800128 is an frugal number, since it uses more digits than its factorization.

4256800128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4256800128 is about 65244.1578074236. The cubic root of 4256800128 is about 1620.6693530277.

The spelling of 4256800128 in words is "four billion, two hundred fifty-six million, eight hundred thousand, one hundred twenty-eight".