421824412800 has 480 divisors, whose sum is σ = 1779007475520. Its totient is φ = 96416593920.

The previous prime is 421824412799. The next prime is 421824412811. The reversal of 421824412800 is 8214428124.

It is a happy number.

421824412800 is a `hidden beast` number, since 4 + 218 + 24 + 412 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1698157 + ... + 1930643.

It is an arithmetic number, because the mean of its divisors is an integer number (3706265574).

Almost surely, 2^421824412800 is an apocalyptic number.

421824412800 is a gapful number since it is divisible by the number (40) 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 421824412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889503737760).

421824412800 is an abundant number, since it is smaller than the sum of its proper divisors (1357183062720).

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

421824412800 is a wasteful number, since it uses less digits than its factorization.

421824412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232530 (or 232504 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 421824412800 in words is "four hundred twenty-one billion, eight hundred twenty-four million, four hundred twelve thousand, eight hundred".