424389983424 has 448 divisors, whose sum is σ = 1345667323392. Its totient is φ = 116563968000.

The previous prime is 424389983393. The next prime is 424389983443.

424389983424 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134171667 + ... + 134174829.

It is an arithmetic number, because the mean of its divisors is an integer number (3003721704).

Almost surely, 2^424389983424 is an apocalyptic number.

424389983424 is a gapful number since it is divisible by the number (44) 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 424389983424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672833661696).

424389983424 is an abundant number, since it is smaller than the sum of its proper divisors (921277339968).

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

424389983424 is a wasteful number, since it uses less digits than its factorization.

424389983424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3334 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 60.

The spelling of 424389983424 in words is "four hundred twenty-four billion, three hundred eighty-nine million, nine hundred eighty-three thousand, four hundred twenty-four".