421031032221312 has 768 divisors, whose sum is σ = 1391697635328000. Its totient is φ = 121346050129920.

The previous prime is 421031032221307. The next prime is 421031032221379. The reversal of 421031032221312 is 213122230130124.

421031032221312 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 3 + 1 + 0 + 322 + 21 + 312 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2223923137 + ... + 2224112447.

It is an arithmetic number, because the mean of its divisors is an integer number (1812106296000).

Almost surely, 2^{421031032221312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421031032221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695848817664000).

421031032221312 is an abundant number, since it is smaller than the sum of its proper divisors (970666603106688).

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

421031032221312 is a wasteful number, since it uses less digits than its factorization.

421031032221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189549 (or 189534 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 421031032221312 its reverse (213122230130124), we get a palindrome (634153262351436).

The spelling of 421031032221312 in words is "four hundred twenty-one trillion, thirty-one billion, thirty-two million, two hundred twenty-one thousand, three hundred twelve".