421212280946688 has 3456 divisors, whose sum is σ = 1680947468169840. Its totient is φ = 100443346698240.

The previous prime is 421212280946669. The next prime is 421212280946689. The reversal of 421212280946688 is 886649082212124.

421212280946688 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 12 + 2 + 80 + 9 + 466 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421212280946689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2434753068970 + ... + 2434753069142.

Almost surely, 2^{421212280946688} is an apocalyptic number.

421212280946688 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 421212280946688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840473734084920).

421212280946688 is an abundant number, since it is smaller than the sum of its proper divisors (1259735187223152).

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

421212280946688 is a wasteful number, since it uses less digits than its factorization.

421212280946688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 421212280946688 in words is "four hundred twenty-one trillion, two hundred twelve billion, two hundred eighty million, nine hundred forty-six thousand, six hundred eighty-eight".