224007940800 has 672 divisors, whose sum is σ = 953164707840. Its totient is φ = 50109235200.

The previous prime is 224007940789. The next prime is 224007940867. The reversal of 224007940800 is 8049700422.

224007940800 is a `hidden beast` number, since 2 + 240 + 0 + 7 + 9 + 408 + 0 + 0 = 666.

224007940800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 14204920 + ... + 14220680.

Almost surely, 2^224007940800 is an apocalyptic number.

224007940800 is a gapful number since it is divisible by the number (20) 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 224007940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476582353920).

224007940800 is an abundant number, since it is smaller than the sum of its proper divisors (729156767040).

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

224007940800 is a wasteful number, since it uses less digits than its factorization.

224007940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15846 (or 15825 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 224007940800 in words is "two hundred twenty-four billion, seven million, nine hundred forty thousand, eight hundred".