419824947721 has 9 divisors (see below), whose sum is σ = 422618427399. Its totient is φ = 417049824984.

The previous prime is 419824947691. The next prime is 419824947767. The reversal of 419824947721 is 127749428914.

The square root of 419824947721 is 647939.

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., 123057132025 + 296767815696 = 350795^2 + 544764^2 .

It is a de Polignac number, because none of the positive numbers 2^k-419824947721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (419824947791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 101724360 + ... + 101728486.

Almost surely, 2^419824947721 is an apocalyptic number.

419824947721 is the 647939-th square number.

419824947721 is the 323970-th centered octagonal number.

It is an amenable number.

419824947721 is a deficient number, since it is larger than the sum of its proper divisors (2793479678).

419824947721 is an frugal number, since it uses more digits than its factorization.

419824947721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8568 (or 4284 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 58.

The spelling of 419824947721 in words is "four hundred nineteen billion, eight hundred twenty-four million, nine hundred forty-seven thousand, seven hundred twenty-one".