1020128256 has 330 divisors, whose sum is σ = 3557776068. Its totient is φ = 290304000.

The previous prime is 1020128251. The next prime is 1020128267. The reversal of 1020128256 is 6528210201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1020128251) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4064131 + ... + 4064381.

Almost surely, 2^1020128256 is an apocalyptic number.

1020128256 is a gapful number since it is divisible by the number (16) 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 1020128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778888034).

1020128256 is an abundant number, since it is smaller than the sum of its proper divisors (2537647812).

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

1020128256 is an equidigital number, since it uses as much as digits as its factorization.

1020128256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1020128256 is about 31939.4467077938. The cubic root of 1020128256 is about 1006.6648990998.

Adding to 1020128256 its reverse (6528210201), we get a palindrome (7548338457).

The spelling of 1020128256 in words is "one billion, twenty million, one hundred twenty-eight thousand, two hundred fifty-six".