421724821824 has 336 divisors, whose sum is σ = 1264598375040. Its totient is φ = 134252052480.

The previous prime is 421724821787. The next prime is 421724821829. The reversal of 421724821824 is 428128427124.

421724821824 is a `hidden beast` number, since 4 + 21 + 72 + 482 + 1 + 82 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 421724821824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421724821829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436116189 + ... + 436117155.

It is an arithmetic number, because the mean of its divisors is an integer number (3763685640).

Almost surely, 2^421724821824 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 421724821824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632299187520).

421724821824 is an abundant number, since it is smaller than the sum of its proper divisors (842873553216).

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

421724821824 is a wasteful number, since it uses less digits than its factorization.

421724821824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1385 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The spelling of 421724821824 in words is "four hundred twenty-one billion, seven hundred twenty-four million, eight hundred twenty-one thousand, eight hundred twenty-four".