421361967376 has 135 divisors (see below), whose sum is σ = 963599924709. Its totient is φ = 177974221824.

The previous prime is 421361967371. The next prime is 421361967391. The reversal of 421361967376 is 673769163124.

The square root of 421361967376 is 649124.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 189207600400 + 232154366976 = 434980^2 + 481824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (421361967371) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1763020665 + ... + 1763020903.

Almost surely, 2^421361967376 is an apocalyptic number.

421361967376 is the 649124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421361967376

421361967376 is an abundant number, since it is smaller than the sum of its proper divisors (542237957333).

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

421361967376 is an frugal number, since it uses more digits than its factorization.

421361967376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 345 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 55.

The spelling of 421361967376 in words is "four hundred twenty-one billion, three hundred sixty-one million, nine hundred sixty-seven thousand, three hundred seventy-six".