4227678421200 has 360 divisors, whose sum is σ = 15827641054680. Its totient is φ = 1038823833600.

The previous prime is 4227678421177. The next prime is 4227678421207. The reversal of 4227678421200 is 21248767224.

4227678421200 is a `hidden beast` number, since 422 + 7 + 6 + 7 + 8 + 4 + 212 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3614044332096 + 613634089104 = 1901064^2 + 783348^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4227678421207) 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 71 ways as a sum of consecutive naturals, for example, 26549820 + ... + 26708580.

Almost surely, 2^{4227678421200} is an apocalyptic number.

4227678421200 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 4227678421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7913820527340).

4227678421200 is an abundant number, since it is smaller than the sum of its proper divisors (11599962633480).

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

4227678421200 is a wasteful number, since it uses less digits than its factorization.

4227678421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159367 (or 159353 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 4227678421200 in words is "four trillion, two hundred twenty-seven billion, six hundred seventy-eight million, four hundred twenty-one thousand, two hundred".