421242242124 has 144 divisors (see below), whose sum is σ = 1118715816960. Its totient is φ = 123127804800.

The previous prime is 421242242101. The next prime is 421242242167.

421242242124 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 = 421242242091 and 421242242100.

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, 49304197 + ... + 49312739.

It is an arithmetic number, because the mean of its divisors is an integer number (7768859840).

Almost surely, 2^421242242124 is an apocalyptic number.

421242242124 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 421242242124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559357908480).

421242242124 is an abundant number, since it is smaller than the sum of its proper divisors (697473574836).

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

421242242124 is a wasteful number, since it uses less digits than its factorization.

421242242124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9772 (or 9759 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

It can be divided in two parts, 421242 and 242124, that added together give a palindrome (663366).

The spelling of 421242242124 in words is "four hundred twenty-one billion, two hundred forty-two million, two hundred forty-two thousand, one hundred twenty-four".