4225330636800 has 2304 divisors, whose sum is σ = 18029131061760. Its totient is φ = 849346560000.

The previous prime is 4225330636763. The next prime is 4225330636811. The reversal of 4225330636800 is 86360335224.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41834956750 + ... + 41834956850.

It is an arithmetic number, because the mean of its divisors is an integer number (7825143690).

Almost surely, 2^{4225330636800} is an apocalyptic number.

4225330636800 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 4225330636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9014565530880).

4225330636800 is an abundant number, since it is smaller than the sum of its proper divisors (13803800424960).

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

4225330636800 is a wasteful number, since it uses less digits than its factorization.

4225330636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 4225330636800 in words is "four trillion, two hundred twenty-five billion, three hundred thirty million, six hundred thirty-six thousand, eight hundred".