4233225210144 has 192 divisors, whose sum is σ = 12724819027200. Its totient is φ = 1207101063168.

The previous prime is 4233225210139. The next prime is 4233225210167. The reversal of 4233225210144 is 4410125223324.

It is a happy number.

4233225210144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865864852 + ... + 865869740.

It is an arithmetic number, because the mean of its divisors is an integer number (66275099100).

Almost surely, 2^{4233225210144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4233225210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362409513600).

4233225210144 is an abundant number, since it is smaller than the sum of its proper divisors (8491593817056).

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

4233225210144 is a wasteful number, since it uses less digits than its factorization.

4233225210144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7195 (or 7187 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 4233225210144 in words is "four trillion, two hundred thirty-three billion, two hundred twenty-five million, two hundred ten thousand, one hundred forty-four".