4256434556928 has 312 divisors, whose sum is σ = 12690303194400. Its totient is φ = 1373899456512.

The previous prime is 4256434556921. The next prime is 4256434557047. The reversal of 4256434556928 is 8296554346524.

4256434556928 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 4 + 3 + 45 + 569 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (4256434556921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145708788 + ... + 145737996.

It is an arithmetic number, because the mean of its divisors is an integer number (40674048700).

Almost surely, 2^{4256434556928} is an apocalyptic number.

4256434556928 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 4256434556928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345151597200).

4256434556928 is an abundant number, since it is smaller than the sum of its proper divisors (8433868637472).

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

4256434556928 is a wasteful number, since it uses less digits than its factorization.

4256434556928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29365 (or 29340 counting only the distinct ones).

The product of its digits is 248832000, while the sum is 63.

The spelling of 4256434556928 in words is "four trillion, two hundred fifty-six billion, four hundred thirty-four million, five hundred fifty-six thousand, nine hundred twenty-eight".