438825428721 has 81 divisors (see below), whose sum is σ = 697423789803. Its totient is φ = 265823521920.

The previous prime is 438825428623. The next prime is 438825428791. The reversal of 438825428721 is 127824528834.

It is a happy number.

The square root of 438825428721 is 662439.

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

438825428721 is a `hidden beast` number, since 4 + 388 + 254 + 2 + 8 + 7 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 341646095025 + 97179333696 = 584505^2 + 311736^2 .

It is not a de Polignac number, because 438825428721 - 2¹¹ = 438825426673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (438825428791) 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 80 ways as a sum of consecutive naturals, for example, 1047315850 + ... + 1047316268.

Almost surely, 2^438825428721 is an apocalyptic number.

438825428721 is the 662439-th square number.

438825428721 is the 331220-th centered octagonal number.

It is an amenable number.

438825428721 is a deficient number, since it is larger than the sum of its proper divisors (258598361082).

438825428721 is an equidigital number, since it uses as much as digits as its factorization.

438825428721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 470 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 438825428721 in words is "four hundred thirty-eight billion, eight hundred twenty-five million, four hundred twenty-eight thousand, seven hundred twenty-one".