421942208688 has 480 divisors, whose sum is σ = 1607238796800. Its totient is φ = 99776655360.

The previous prime is 421942208671. The next prime is 421942208689. The reversal of 421942208688 is 886802249124.

421942208688 is a `hidden beast` number, since 421 + 9 + 4 + 2 + 208 + 6 + 8 + 8 = 666.

421942208688 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (421942208689) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 10502463 + ... + 10542561.

It is an arithmetic number, because the mean of its divisors is an integer number (3348414160).

Almost surely, 2^421942208688 is an apocalyptic number.

421942208688 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 421942208688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803619398400).

421942208688 is an abundant number, since it is smaller than the sum of its proper divisors (1185296588112).

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

421942208688 is a wasteful number, since it uses less digits than its factorization.

421942208688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40217 (or 40208 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 421942208688 in words is "four hundred twenty-one billion, nine hundred forty-two million, two hundred eight thousand, six hundred eighty-eight".