421881815646720 has 1920 divisors, whose sum is σ = 1821521233179648. Its totient is φ = 92210769100800.

The previous prime is 421881815646659. The next prime is 421881815646721. The reversal of 421881815646720 is 27646518188124.

421881815646720 is a `hidden beast` number, since 4 + 2 + 1 + 8 + 8 + 1 + 8 + 1 + 564 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (421881815646721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3825114775 + ... + 3825225065.

Almost surely, 2^{421881815646720} is an apocalyptic number.

421881815646720 is a gapful number since it is divisible by the number (40) 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 421881815646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910760616589824).

421881815646720 is an abundant number, since it is smaller than the sum of its proper divisors (1399639417532928).

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

421881815646720 is a wasteful number, since it uses less digits than its factorization.

421881815646720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110396 (or 110368 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 421881815646720 in words is "four hundred twenty-one trillion, eight hundred eighty-one billion, eight hundred fifteen million, six hundred forty-six thousand, seven hundred twenty".