419788663921 has 9 divisors (see below), whose sum is σ = 461428431499. Its totient is φ = 381619579000.

The previous prime is 419788663919. The next prime is 419788663951. The reversal of 419788663921 is 129366887914.

The square root of 419788663921 is 647911.

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., 21400471521 + 398388192400 = 146289^2 + 631180^2 .

It is not a de Polignac number, because 419788663921 - 2¹ = 419788663919 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (419788663951) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7097571 + ... + 7156471.

Almost surely, 2^419788663921 is an apocalyptic number.

419788663921 is the 647911-st square number.

419788663921 is the 323956-th centered octagonal number.

It is an amenable number.

419788663921 is a deficient number, since it is larger than the sum of its proper divisors (41639767578).

419788663921 is an frugal number, since it uses more digits than its factorization.

419788663921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117824 (or 58912 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 64.

Multiplying 419788663921 by its sum of digits (64), we get a square (26866474490944 = 5183288²).

The spelling of 419788663921 in words is "four hundred nineteen billion, seven hundred eighty-eight million, six hundred sixty-three thousand, nine hundred twenty-one".