421305104000 has 512 divisors, whose sum is σ = 1170563097600. Its totient is φ = 149520384000.

The previous prime is 421305103943. The next prime is 421305104057. The reversal of 421305104000 is 401503124.

It is an interprime number because it is at equal distance from previous prime (421305103943) and next prime (421305104057).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2182927904 + ... + 2182928096.

It is an arithmetic number, because the mean of its divisors is an integer number (2286256050).

Almost surely, 2^421305104000 is an apocalyptic number.

421305104000 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 421305104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585281548800).

421305104000 is an abundant number, since it is smaller than the sum of its proper divisors (749257993600).

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

421305104000 is a wasteful number, since it uses less digits than its factorization.

421305104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 421305104000 its reverse (401503124), we get a palindrome (421706607124).

The spelling of 421305104000 in words is "four hundred twenty-one billion, three hundred five million, one hundred four thousand".