421743828768 has 96 divisors (see below), whose sum is σ = 1134310226112. Its totient is φ = 137124556800.

The previous prime is 421743828689. The next prime is 421743828811. The reversal of 421743828768 is 867828347124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29438055 + ... + 29452377.

It is an arithmetic number, because the mean of its divisors is an integer number (11815731522).

Almost surely, 2^421743828768 is an apocalyptic number.

421743828768 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 421743828768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567155113056).

421743828768 is an abundant number, since it is smaller than the sum of its proper divisors (712566397344).

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

421743828768 is a wasteful number, since it uses less digits than its factorization.

421743828768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21858 (or 21850 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 60.

The spelling of 421743828768 in words is "four hundred twenty-one billion, seven hundred forty-three million, eight hundred twenty-eight thousand, seven hundred sixty-eight".