427219104401 has 8 divisors (see below), whose sum is σ = 453217882824. Its totient is φ = 401316797440.

The previous prime is 427219104379. The next prime is 427219104421. The reversal of 427219104401 is 104401912724.

It is a Cunningham number, because it is equal to 653620²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 2408453776 + 424810650625 = 49076^2 + 651775^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 427219104401 - 2¹⁴ = 427219088017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (427219104421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24108740 + ... + 24126453.

It is an arithmetic number, because the mean of its divisors is an integer number (56652235353).

Almost surely, 2^427219104401 is an apocalyptic number.

It is an amenable number.

427219104401 is a deficient number, since it is larger than the sum of its proper divisors (25998778423).

427219104401 is a wasteful number, since it uses less digits than its factorization.

427219104401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48235731.

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 427219104401 in words is "four hundred twenty-seven billion, two hundred nineteen million, one hundred four thousand, four hundred one".