434223224424 has 96 divisors (see below), whose sum is σ = 1283046336000. Its totient is φ = 131571095040.

The previous prime is 434223224401. The next prime is 434223224429. The reversal of 434223224424 is 424422322434.

434223224424 is a `hidden beast` number, since 4 + 3 + 4 + 2 + 2 + 3 + 224 + 424 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (434223224429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13922832 + ... + 13953984.

It is an arithmetic number, because the mean of its divisors is an integer number (13365066000).

Almost surely, 2^434223224424 is an apocalyptic number.

434223224424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

434223224424 is an abundant number, since it is smaller than the sum of its proper divisors (848823111576).

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

434223224424 is a wasteful number, since it uses less digits than its factorization.

434223224424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48775 (or 48768 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

Adding to 434223224424 its reverse (424422322434), we get a palindrome (858645546858).

It can be divided in two parts, 43422 and 3224424, that added together give a triangular number (3267846 = T₂₅₅₆).

The spelling of 434223224424 in words is "four hundred thirty-four billion, two hundred twenty-three million, two hundred twenty-four thousand, four hundred twenty-four".