4256908800 has 240 divisors, whose sum is σ = 14891917392. Its totient is φ = 1068236800.

The previous prime is 4256908741. The next prime is 4256908819. The reversal of 4256908800 is 88096524.

4256908800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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, 649540 + ... + 656060.

Almost surely, 2^4256908800 is an apocalyptic number.

4256908800 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 4256908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7445958696).

4256908800 is an abundant number, since it is smaller than the sum of its proper divisors (10635008592).

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

4256908800 is a wasteful number, since it uses less digits than its factorization.

4256908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6569 (or 6548 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 4256908800 is about 65244.9906123068. The cubic root of 4256908800 is about 1620.6831442853.

The spelling of 4256908800 in words is "four billion, two hundred fifty-six million, nine hundred eight thousand, eight hundred".