421131816000 has 672 divisors, whose sum is σ = 1729045543680. Its totient is φ = 95846400000.

The previous prime is 421131815939. The next prime is 421131816047. The reversal of 421131816000 is 618131124.

It is a happy number.

421131816000 is a `hidden beast` number, since 4 + 21 + 1 + 31 + 8 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 126502336 + ... + 126505664.

It is an arithmetic number, because the mean of its divisors is an integer number (2572984440).

Almost surely, 2^421131816000 is an apocalyptic number.

421131816000 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 421131816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864522771840).

421131816000 is an abundant number, since it is smaller than the sum of its proper divisors (1307913727680).

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

421131816000 is a wasteful number, since it uses less digits than its factorization.

421131816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 421131816000 its reverse (618131124), we get a palindrome (421749947124).

The spelling of 421131816000 in words is "four hundred twenty-one billion, one hundred thirty-one million, eight hundred sixteen thousand".