421142404241124 has 108 divisors (see below), whose sum is σ = 1099020535194036. Its totient is φ = 135879006449664.

The previous prime is 421142404241101. The next prime is 421142404241131.

421142404241124 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 4 + 2 + 404 + 241 + 1 + 2 + 4 = 666.

421142404241124 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 15553416463524 + 405588987777600 = 3943782^2 + 20139240^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45371622 + ... + 53859714.

Almost surely, 2^{421142404241124} 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 421142404241124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549510267597018).

421142404241124 is an abundant number, since it is smaller than the sum of its proper divisors (677878130952912).

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

421142404241124 is a wasteful number, since it uses less digits than its factorization.

421142404241124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8488526 (or 8488328 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

It can be divided in two parts, 42114240 and 4241124, that added together give a palindrome (46355364).

The spelling of 421142404241124 in words is "four hundred twenty-one trillion, one hundred forty-two billion, four hundred four million, two hundred forty-one thousand, one hundred twenty-four".