421760040960 has 128 divisors (see below), whose sum is σ = 1349613110160. Its totient is φ = 112469213184.

The previous prime is 421760040953. The next prime is 421760041033. The reversal of 421760040960 is 69040067124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62484 + ... + 920556.

Almost surely, 2^421760040960 is an apocalyptic number.

421760040960 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 421760040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674806555080).

421760040960 is an abundant number, since it is smaller than the sum of its proper divisors (927853069200).

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

421760040960 is an frugal number, since it uses more digits than its factorization.

421760040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858111 (or 858083 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 421760040960 in words is "four hundred twenty-one billion, seven hundred sixty million, forty thousand, nine hundred sixty".