421863624000 has 2016 divisors, whose sum is σ = 1947815670528. Its totient is φ = 84851712000.

The previous prime is 421863623999. The next prime is 421863624019. The reversal of 421863624000 is 426368124.

421863624000 is a `hidden beast` number, since 4 + 2 + 18 + 636 + 2 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6296471967 + ... + 6296472033.

It is an arithmetic number, because the mean of its divisors is an integer number (966178408).

Almost surely, 2^421863624000 is an apocalyptic number.

421863624000 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 421863624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973907835264).

421863624000 is an abundant number, since it is smaller than the sum of its proper divisors (1525952046528).

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

421863624000 is a wasteful number, since it uses less digits than its factorization.

421863624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 421863624000 in words is "four hundred twenty-one billion, eight hundred sixty-three million, six hundred twenty-four thousand".