421876224000 has 2496 divisors, whose sum is σ = 2009308654080. Its totient is φ = 82575360000.

The previous prime is 421876223963. The next prime is 421876224001. The reversal of 421876224000 is 422678124.

421876224000 is a `hidden beast` number, since 4 + 21 + 8 + 7 + 622 + 4 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421876224001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10289663980 + ... + 10289664020.

It is an arithmetic number, because the mean of its divisors is an integer number (805011480).

Almost surely, 2^421876224000 is an apocalyptic number.

421876224000 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 421876224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004654327040).

421876224000 is an abundant number, since it is smaller than the sum of its proper divisors (1587432430080).

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

421876224000 is a wasteful number, since it uses less digits than its factorization.

421876224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 421876224000 in words is "four hundred twenty-one billion, eight hundred seventy-six million, two hundred twenty-four thousand".