421314413124 has 192 divisors, whose sum is σ = 1197143055360. Its totient is φ = 113659822080.

The previous prime is 421314413111. The next prime is 421314413129.

It is a happy number.

421314413124 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 421314413091 and 421314413100.

It is not an unprimeable number, because it can be changed into a prime (421314413129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28686687 + ... + 28701369.

It is an arithmetic number, because the mean of its divisors is an integer number (6235120080).

Almost surely, 2^421314413124 is an apocalyptic number.

421314413124 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 421314413124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598571527680).

421314413124 is an abundant number, since it is smaller than the sum of its proper divisors (775828642236).

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

421314413124 is a wasteful number, since it uses less digits than its factorization.

421314413124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15410 (or 15408 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 421314 and 413124, that added together give a palindrome (834438).

The spelling of 421314413124 in words is "four hundred twenty-one billion, three hundred fourteen million, four hundred thirteen thousand, one hundred twenty-four".