429643542784 has 81 divisors (see below), whose sum is σ = 871368079701. Its totient is φ = 211429048320.

The previous prime is 429643542773. The next prime is 429643542821. The reversal of 429643542784 is 487245346924.

The square root of 429643542784 is 655472.

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., 426670240000 + 2973302784 = 653200^2 + 54528^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 744615904 + ... + 744616480.

Almost surely, 2^429643542784 is an apocalyptic number.

429643542784 is the 655472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429643542784

429643542784 is an abundant number, since it is smaller than the sum of its proper divisors (441724536917).

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

429643542784 is an frugal number, since it uses more digits than its factorization.

429643542784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 650 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 58.

The spelling of 429643542784 in words is "four hundred twenty-nine billion, six hundred forty-three million, five hundred forty-two thousand, seven hundred eighty-four".