42223420800 has 960 divisors, whose sum is σ = 173548267200. Its totient is φ = 10022400000.

The previous prime is 42223420747. The next prime is 42223420843. The reversal of 42223420800 is 802432224.

42223420800 is a `hidden beast` number, since 422 + 2 + 34 + 208 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 168220675 + ... + 168220925.

It is an arithmetic number, because the mean of its divisors is an integer number (180779445).

Almost surely, 2^42223420800 is an apocalyptic number.

42223420800 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 42223420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86774133600).

42223420800 is an abundant number, since it is smaller than the sum of its proper divisors (131324846400).

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

42223420800 is a wasteful number, since it uses less digits than its factorization.

42223420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 42223420800 in words is "forty-two billion, two hundred twenty-three million, four hundred twenty thousand, eight hundred".