4256332800 has 264 divisors, whose sum is σ = 14197107696. Its totient is φ = 1124597760.

The previous prime is 4256332771. The next prime is 4256332819. The reversal of 4256332800 is 82336524.

It is a happy number.

4256332800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 12057424 + ... + 12057776.

Almost surely, 2^4256332800 is an apocalyptic number.

4256332800 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 4256332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7098553848).

4256332800 is an abundant number, since it is smaller than the sum of its proper divisors (9940774896).

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

4256332800 is a wasteful number, since it uses less digits than its factorization.

4256332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 4256332800 is about 65240.5763309920. The cubic root of 4256332800 is about 1620.6100430716.

The spelling of 4256332800 in words is "four billion, two hundred fifty-six million, three hundred thirty-two thousand, eight hundred".