433728730452680 has 32 divisors (see below), whose sum is σ = 1050958077636600. Its totient is φ = 160145992782336.

The previous prime is 433728730452679. The next prime is 433728730452683. The reversal of 433728730452680 is 86254037827334.

It can be written as a sum of positive squares in 4 ways, for example, as 389679996818596 + 44048733634084 = 19740314^2 + 6636922^2 .

It is a super-2 number, since 2×433728730452680² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (433728730452683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417046855685 + ... + 417046856724.

Almost surely, 2^{433728730452680} is an apocalyptic number.

433728730452680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

433728730452680 is an abundant number, since it is smaller than the sum of its proper divisors (617229347183920).

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

433728730452680 is a wasteful number, since it uses less digits than its factorization.

433728730452680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834093712433 (or 834093712429 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 62.

The spelling of 433728730452680 in words is "four hundred thirty-three trillion, seven hundred twenty-eight billion, seven hundred thirty million, four hundred fifty-two thousand, six hundred eighty".