421013242310124 has 192 divisors, whose sum is σ = 1084291613798400. Its totient is φ = 126584776581120.

The previous prime is 421013242310021. The next prime is 421013242310131.

It is a happy number.

421013242310124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 421013242310091 and 421013242310100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8824214629 + ... + 8824262339.

It is an arithmetic number, because the mean of its divisors is an integer number (5647352155200).

Almost surely, 2^{421013242310124} 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 421013242310124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542145806899200).

421013242310124 is an abundant number, since it is smaller than the sum of its proper divisors (663278371488276).

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

421013242310124 is a wasteful number, since it uses less digits than its factorization.

421013242310124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65288 (or 65286 counting only the distinct ones).

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

The spelling of 421013242310124 in words is "four hundred twenty-one trillion, thirteen billion, two hundred forty-two million, three hundred ten thousand, one hundred twenty-four".