421434444434124 has 144 divisors (see below), whose sum is σ = 1091615112106848. Its totient is φ = 126437836800000.

The previous prime is 421434444434119. The next prime is 421434444434231.

421434444434124 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5162256234 + ... + 5162337870.

It is an arithmetic number, because the mean of its divisors is an integer number (7580660500742).

Almost surely, 2^{421434444434124} is an apocalyptic number.

421434444434124 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 421434444434124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545807556053424).

421434444434124 is an abundant number, since it is smaller than the sum of its proper divisors (670180667672724).

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

421434444434124 is a wasteful number, since it uses less digits than its factorization.

421434444434124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116968 (or 116955 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 48.

The spelling of 421434444434124 in words is "four hundred twenty-one trillion, four hundred thirty-four billion, four hundred forty-four million, four hundred thirty-four thousand, one hundred twenty-four".