4256034816 has 312 divisors, whose sum is σ = 13276497024. Its totient is φ = 1200291840.

The previous prime is 4256034799. The next prime is 4256034821. The reversal of 4256034816 is 6184306524.

4256034816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4256034816² = 36227664710008307712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115027950 + ... + 115027986.

Almost surely, 2^4256034816 is an apocalyptic number.

4256034816 is a gapful number since it is divisible by the number (46) 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 4256034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638248512).

4256034816 is an abundant number, since it is smaller than the sum of its proper divisors (9020462208).

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

4256034816 is a wasteful number, since it uses less digits than its factorization.

4256034816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 4256034816 is about 65238.2925588952. The cubic root of 4256034816 is about 1620.5722227886.

The spelling of 4256034816 in words is "four billion, two hundred fifty-six million, thirty-four thousand, eight hundred sixteen".