428451978724841 has 2 divisors, whose sum is σ = 428451978724842. Its totient is φ = 428451978724840.

The previous prime is 428451978724829. The next prime is 428451978724843. The reversal of 428451978724841 is 148427879154824.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 317133020116441 + 111318958608400 = 17808229^2 + 10550780^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-428451978724841 is a prime.

Together with 428451978724843, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (428451978724843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214225989362420 + 214225989362421.

It is an arithmetic number, because the mean of its divisors is an integer number (214225989362421).

Almost surely, 2^{428451978724841} is an apocalyptic number.

It is an amenable number.

428451978724841 is a deficient number, since it is larger than the sum of its proper divisors (1).

428451978724841 is an equidigital number, since it uses as much as digits as its factorization.

428451978724841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1156055040, while the sum is 74.

The spelling of 428451978724841 in words is "four hundred twenty-eight trillion, four hundred fifty-one billion, nine hundred seventy-eight million, seven hundred twenty-four thousand, eight hundred forty-one".