4228468465200 has 960 divisors, whose sum is σ = 16251743155200. Its totient is φ = 938843136000.

The previous prime is 4228468465171. The next prime is 4228468465201. The reversal of 4228468465200 is 25648648224.

It is a super-2 number, since 2×4228468465200² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4228468465201) by changing a digit.

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, 5585823222 + ... + 5585823978.

It is an arithmetic number, because the mean of its divisors is an integer number (16928899120).

Almost surely, 2^{4228468465200} is an apocalyptic number.

4228468465200 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 4228468465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125871577600).

4228468465200 is an abundant number, since it is smaller than the sum of its proper divisors (12023274690000).

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

4228468465200 is a wasteful number, since it uses less digits than its factorization.

4228468465200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 51.

The spelling of 4228468465200 in words is "four trillion, two hundred twenty-eight billion, four hundred sixty-eight million, four hundred sixty-five thousand, two hundred".