421234291968 has 288 divisors, whose sum is σ = 1310744924160. Its totient is φ = 117591367680.

The previous prime is 421234291943. The next prime is 421234291987. The reversal of 421234291968 is 869192432124.

It is a self number, because there is not a number n which added to its sum of digits gives 421234291968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209464083 + ... + 209466093.

Almost surely, 2^421234291968 is an apocalyptic number.

421234291968 is a gapful number since it is divisible by the number (48) 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 421234291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655372462080).

421234291968 is an abundant number, since it is smaller than the sum of its proper divisors (889510632192).

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

421234291968 is a wasteful number, since it uses less digits than its factorization.

421234291968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2899 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 421234291968 in words is "four hundred twenty-one billion, two hundred thirty-four million, two hundred ninety-one thousand, nine hundred sixty-eight".