421016341659648 has 960 divisors, whose sum is σ = 1404210124800000. Its totient is φ = 111804626239488.

The previous prime is 421016341659637. The next prime is 421016341659691. The reversal of 421016341659648 is 846956143610124.

It is a junction number, because it is equal to n+sod(n) for n = 421016341659591 and 421016341659600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16977137553 + ... + 16977162351.

It is an arithmetic number, because the mean of its divisors is an integer number (1462718880000).

Almost surely, 2^{421016341659648} is an apocalyptic number.

421016341659648 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 421016341659648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702105062400000).

421016341659648 is an abundant number, since it is smaller than the sum of its proper divisors (983193783140352).

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

421016341659648 is an equidigital number, since it uses as much as digits as its factorization.

421016341659648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24923 (or 24883 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 421016341659648 in words is "four hundred twenty-one trillion, sixteen billion, three hundred forty-one million, six hundred fifty-nine thousand, six hundred forty-eight".