424605506424 has 128 divisors (see below), whose sum is σ = 1188383374080. Its totient is φ = 125305318400.

The previous prime is 424605506411. The next prime is 424605506459.

424605506424 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6059074 + ... + 6128750.

It is an arithmetic number, because the mean of its divisors is an integer number (9284245110).

Almost surely, 2^424605506424 is an apocalyptic number.

424605506424 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 424605506424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594191687040).

424605506424 is an abundant number, since it is smaller than the sum of its proper divisors (763777867656).

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

424605506424 is a wasteful number, since it uses less digits than its factorization.

424605506424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70301 (or 70297 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 424605506424 in words is "four hundred twenty-four billion, six hundred five million, five hundred six thousand, four hundred twenty-four".