421521408000 has 2160 divisors, whose sum is σ = 1979722372992. Its totient is φ = 87588864000.

The previous prime is 421521407947. The next prime is 421521408013. The reversal of 421521408000 is 804125124.

421521408000 is a `hidden beast` number, since 4 + 21 + 521 + 40 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38320127995 + ... + 38320128005.

Almost surely, 2^421521408000 is an apocalyptic number.

421521408000 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 421521408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989861186496).

421521408000 is an abundant number, since it is smaller than the sum of its proper divisors (1558200964992).

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

421521408000 is an frugal number, since it uses more digits than its factorization.

421521408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 421521408000 in words is "four hundred twenty-one billion, five hundred twenty-one million, four hundred eight thousand".