424231202132424 has 48 divisors (see below), whose sum is σ = 1149257705204700. Its totient is φ = 141373699242624.

The previous prime is 424231202132393. The next prime is 424231202132531.

424231202132424 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 3 + 12 + 0 + 213 + 2 + 424 = 666.

424231202132424 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 405491116976100 + 18740085156324 = 20136810^2 + 4328982^2 .

It is a super-2 number, since 2×424231202132424² (a number of 30 digits) contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 764334579 + ... + 764889410.

Almost surely, 2^{424231202132424} is an apocalyptic number.

It is an amenable number.

424231202132424 is an abundant number, since it is smaller than the sum of its proper divisors (725026503072276).

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

424231202132424 is a wasteful number, since it uses less digits than its factorization.

424231202132424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529227854 (or 1529227847 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 42423120 and 2132424, that added together give a palindrome (44555544).

The spelling of 424231202132424 in words is "four hundred twenty-four trillion, two hundred thirty-one billion, two hundred two million, one hundred thirty-two thousand, four hundred twenty-four".