421142004214344 has 384 divisors, whose sum is σ = 1414661953985280. Its totient is φ = 110430480384000.

The previous prime is 421142004214291. The next prime is 421142004214409. The reversal of 421142004214344 is 443412400241124.

421142004214344 is a `hidden beast` number, since 4 + 2 + 1 + 14 + 200 + 4 + 2 + 1 + 434 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 421142004214299 and 421142004214308.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220471834 + ... + 222373814.

It is an arithmetic number, because the mean of its divisors is an integer number (3684015505170).

Almost surely, 2^{421142004214344} 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 421142004214344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707330976992640).

421142004214344 is an abundant number, since it is smaller than the sum of its proper divisors (993519949770936).

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

421142004214344 is a wasteful number, since it uses less digits than its factorization.

421142004214344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902661 (or 1902654 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 421142004214344 its reverse (443412400241124), we get a palindrome (864554404455468).

The spelling of 421142004214344 in words is "four hundred twenty-one trillion, one hundred forty-two billion, four million, two hundred fourteen thousand, three hundred forty-four".