4256088883200 has 3840 divisors, whose sum is σ = 21239002224000. Its totient is φ = 832359628800.

The previous prime is 4256088883199. The next prime is 4256088883213. The reversal of 4256088883200 is 23888806524.

4256088883200 is a `hidden beast` number, since 4 + 2 + 5 + 608 + 8 + 8 + 8 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×4256088883200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 250358169592 + ... + 250358169608.

Almost surely, 2^{4256088883200} is an apocalyptic number.

4256088883200 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 4256088883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10619501112000).

4256088883200 is an abundant number, since it is smaller than the sum of its proper divisors (16982913340800).

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

4256088883200 is an equidigital number, since it uses as much as digits as its factorization.

4256088883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 4256088883200 in words is "four trillion, two hundred fifty-six billion, eighty-eight million, eight hundred eighty-three thousand, two hundred".