421243040342124 has 648 divisors, whose sum is σ = 1543397558604720. Its totient is φ = 95681671303680.

The previous prime is 421243040342087. The next prime is 421243040342149.

421243040342124 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 4 + 30 + 403 + 4 + 212 + 4 = 666.

421243040342124 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 48725622 + ... + 56715714.

Almost surely, 2^{421243040342124} is an apocalyptic number.

421243040342124 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 421243040342124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771698779302360).

421243040342124 is an abundant number, since it is smaller than the sum of its proper divisors (1122154518262596).

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

421243040342124 is a wasteful number, since it uses less digits than its factorization.

421243040342124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7990171 (or 7990148 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 421243040342124 in words is "four hundred twenty-one trillion, two hundred forty-three billion, forty million, three hundred forty-two thousand, one hundred twenty-four".