420754606336 has 81 divisors (see below), whose sum is σ = 853355829459. Its totient is φ = 207050995200.

The previous prime is 420754606333. The next prime is 420754606343. The reversal of 420754606336 is 633606457024.

It is a happy number.

The square root of 420754606336 is 648656.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420754606333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 736872931 + ... + 736873501.

Almost surely, 2^420754606336 is an apocalyptic number.

420754606336 is the 648656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420754606336

420754606336 is an abundant number, since it is smaller than the sum of its proper divisors (432601223123).

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

420754606336 is an frugal number, since it uses more digits than its factorization.

420754606336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 46.

The spelling of 420754606336 in words is "four hundred twenty billion, seven hundred fifty-four million, six hundred six thousand, three hundred thirty-six".