4224320100000 has 2880 divisors, whose sum is σ = 20889494486784. Its totient is φ = 808704000000.

The previous prime is 4224320099933. The next prime is 4224320100031. The reversal of 4224320100000 is 10234224.

4224320100000 is a `hidden beast` number, since 422 + 43 + 201 + 0 + 0 + 0 + 0 + 0 = 666.

4224320100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 8108099740 + ... + 8108100260.

Almost surely, 2^{4224320100000} is an apocalyptic number.

4224320100000 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 4224320100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10444747243392).

4224320100000 is an abundant number, since it is smaller than the sum of its proper divisors (16665174386784).

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

4224320100000 is a wasteful number, since it uses less digits than its factorization.

4224320100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 4224320100000 its reverse (10234224), we get a palindrome (4224330334224).

The spelling of 4224320100000 in words is "four trillion, two hundred twenty-four billion, three hundred twenty million, one hundred thousand".