424321303123424 has 192 divisors, whose sum is σ = 970429720780800. Its totient is φ = 178885925376000.

The previous prime is 424321303123379. The next prime is 424321303123427.

424321303123424 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×424321303123424³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424321303123427) by changing a digit.

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, 3495777167 + ... + 3495898545.

It is an arithmetic number, because the mean of its divisors is an integer number (5054321462400).

Almost surely, 2^{424321303123424} 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 424321303123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485214860390400).

424321303123424 is an abundant number, since it is smaller than the sum of its proper divisors (546108417657376).

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

424321303123424 is a wasteful number, since it uses less digits than its factorization.

424321303123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122497 (or 122489 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 42432130 and 3123424, that added together give a palindrome (45555554).

The spelling of 424321303123424 in words is "four hundred twenty-four trillion, three hundred twenty-one billion, three hundred three million, one hundred twenty-three thousand, four hundred twenty-four".