4255111375200 has 1728 divisors, whose sum is σ = 18663815439360. Its totient is φ = 926690181120.

The previous prime is 4255111375189. The next prime is 4255111375241. The reversal of 4255111375200 is 25731115524.

4255111375200 is a `hidden beast` number, since 4 + 2 + 5 + 511 + 137 + 5 + 2 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16556853472 + ... + 16556853728.

It is an arithmetic number, because the mean of its divisors is an integer number (10800819120).

Almost surely, 2^{4255111375200} is an apocalyptic number.

4255111375200 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 4255111375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331907719680).

4255111375200 is an abundant number, since it is smaller than the sum of its proper divisors (14408704064160).

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

4255111375200 is an equidigital number, since it uses as much as digits as its factorization.

4255111375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 4255111375200 in words is "four trillion, two hundred fifty-five billion, one hundred eleven million, three hundred seventy-five thousand, two hundred".