421712718336 has 800 divisors, whose sum is σ = 1562826722688. Its totient is φ = 110242529280.

The previous prime is 421712718277. The next prime is 421712718397. The reversal of 421712718336 is 633817217124.

421712718336 is a `hidden beast` number, since 42 + 1 + 7 + 1 + 271 + 8 + 336 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 421712718291 and 421712718300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 494387286 + ... + 494388138.

Almost surely, 2^421712718336 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 421712718336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781413361344).

421712718336 is an abundant number, since it is smaller than the sum of its proper divisors (1141114004352).

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

421712718336 is a wasteful number, since it uses less digits than its factorization.

421712718336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1009 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 421712718336 in words is "four hundred twenty-one billion, seven hundred twelve million, seven hundred eighteen thousand, three hundred thirty-six".