4262286095200 has 288 divisors, whose sum is σ = 12022696498176. Its totient is φ = 1445303900160.

The previous prime is 4262286095191. The next prime is 4262286095201. The reversal of 4262286095200 is 25906822624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4262286095201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492006069 + ... + 492014731.

It is an arithmetic number, because the mean of its divisors is an integer number (41745473952).

Almost surely, 2^{4262286095200} is an apocalyptic number.

4262286095200 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 4262286095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011348249088).

4262286095200 is an abundant number, since it is smaller than the sum of its proper divisors (7760410402976).

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

4262286095200 is a wasteful number, since it uses less digits than its factorization.

4262286095200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9646 (or 9633 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 4262286095200 in words is "four trillion, two hundred sixty-two billion, two hundred eighty-six million, ninety-five thousand, two hundred".