421821445539312 has 1920 divisors, whose sum is σ = 1561008729047040. Its totient is φ = 107972804459520.

The previous prime is 421821445539289. The next prime is 421821445539337. The reversal of 421821445539312 is 213935544128124.

421821445539312 is a `hidden beast` number, since 4 + 2 + 1 + 82 + 1 + 4 + 4 + 553 + 9 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 284437926123 + ... + 284437927605.

It is an arithmetic number, because the mean of its divisors is an integer number (813025379712).

Almost surely, 2^{421821445539312} is an apocalyptic number.

421821445539312 is a gapful number since it is divisible by the number (42) 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 421821445539312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780504364523520).

421821445539312 is an abundant number, since it is smaller than the sum of its proper divisors (1139187283507728).

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

421821445539312 is a wasteful number, since it uses less digits than its factorization.

421821445539312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1646 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 421821445539312 in words is "four hundred twenty-one trillion, eight hundred twenty-one billion, four hundred forty-five million, five hundred thirty-nine thousand, three hundred twelve".