4282228684800 has 2880 divisors, whose sum is σ = 18491397724800. Its totient is φ = 969847603200.

The previous prime is 4282228684793. The next prime is 4282228684879. The reversal of 4282228684800 is 84868222824.

4282228684800 is a `hidden beast` number, since 4 + 2 + 82 + 2 + 2 + 86 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

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, 72580147171 + ... + 72580147229.

It is an arithmetic number, because the mean of its divisors is an integer number (6420624210).

Almost surely, 2^{4282228684800} is an apocalyptic number.

4282228684800 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 4282228684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9245698862400).

4282228684800 is an abundant number, since it is smaller than the sum of its proper divisors (14209169040000).

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

4282228684800 is a wasteful number, since it uses less digits than its factorization.

4282228684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 4282228684800 in words is "four trillion, two hundred eighty-two billion, two hundred twenty-eight million, six hundred eighty-four thousand, eight hundred".