421343505343124 has 384 divisors, whose sum is σ = 937872032907264. Its totient is φ = 161231938560000.

The previous prime is 421343505343093. The next prime is 421343505343157.

421343505343124 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 182320857929 + ... + 182320860239.

It is an arithmetic number, because the mean of its divisors is an integer number (2442375085696).

Almost surely, 2^{421343505343124} 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 421343505343124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468936016453632).

421343505343124 is an abundant number, since it is smaller than the sum of its proper divisors (516528527564140).

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

421343505343124 is a wasteful number, since it uses less digits than its factorization.

421343505343124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 44.

It can be divided in two parts, 42134350 and 5343124, that added together give a palindrome (47477474).

The spelling of 421343505343124 in words is "four hundred twenty-one trillion, three hundred forty-three billion, five hundred five million, three hundred forty-three thousand, one hundred twenty-four".