433040242224 has 160 divisors (see below), whose sum is σ = 1208960121600. Its totient is φ = 133143229440.

The previous prime is 433040242213. The next prime is 433040242273. The reversal of 433040242224 is 422242040334.

It is a super-3 number, since 3×433040242224³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 433040242191 and 433040242200.

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 31 ways as a sum of consecutive naturals, for example, 6297822 + ... + 6366210.

It is an arithmetic number, because the mean of its divisors is an integer number (7556000760).

Almost surely, 2^433040242224 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 433040242224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604480060800).

433040242224 is an abundant number, since it is smaller than the sum of its proper divisors (775919879376).

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

433040242224 is a wasteful number, since it uses less digits than its factorization.

433040242224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68603 (or 68597 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 433040242224 its reverse (422242040334), we get a palindrome (855282282558).

The spelling of 433040242224 in words is "four hundred thirty-three billion, forty million, two hundred forty-two thousand, two hundred twenty-four".