6428672041 has 27 divisors (see below), whose sum is σ = 7299418917. Its totient is φ = 5657430240.

The previous prime is 6428672023. The next prime is 6428672053. The reversal of 6428672041 is 1402768246.

It is a happy number.

The square root of 6428672041 is 80179.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5094961641 + 1333710400 = 71379^2 + 36520^2 .

It is not a de Polignac number, because 6428672041 - 2¹⁹ = 6428147753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6428671985 and 6428672003.

It is not an unprimeable number, because it can be changed into a prime (6428670041) 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 26 ways as a sum of consecutive naturals, for example, 32632755 + ... + 32632951.

Almost surely, 2^6428672041 is an apocalyptic number.

6428672041 is the 80179-th square number.

6428672041 is the 40090-th centered octagonal number.

It is an amenable number.

6428672041 is a deficient number, since it is larger than the sum of its proper divisors (870746876).

6428672041 is an equidigital number, since it uses as much as digits as its factorization.

6428672041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The cubic root of 6428672041 is about 1859.4039830225.

The spelling of 6428672041 in words is "six billion, four hundred twenty-eight million, six hundred seventy-two thousand, forty-one".