420243602688 has 1728 divisors, whose sum is σ = 1679928606720. Its totient is φ = 97940275200.

The previous prime is 420243602683. The next prime is 420243602689. The reversal of 420243602688 is 886206342024.

420243602688 is a `hidden beast` number, since 4 + 2 + 0 + 24 + 360 + 268 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420243602683) 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 191 ways as a sum of consecutive naturals, for example, 5063175895 + ... + 5063175977.

Almost surely, 2^420243602688 is an apocalyptic number.

420243602688 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 420243602688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839964303360).

420243602688 is an abundant number, since it is smaller than the sum of its proper divisors (1259685004032).

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

420243602688 is a wasteful number, since it uses less digits than its factorization.

420243602688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 420243602688 in words is "four hundred twenty billion, two hundred forty-three million, six hundred two thousand, six hundred eighty-eight".