401571628582321 has 2 divisors, whose sum is σ = 401571628582322. Its totient is φ = 401571628582320.

The previous prime is 401571628582279. The next prime is 401571628582339. The reversal of 401571628582321 is 123285826175104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 367104220481296 + 34467408101025 = 19159964^2 + 5870895^2 .

It is a cyclic number.

It is not a de Polignac number, because 401571628582321 - 2¹⁷ = 401571628451249 is a prime.

It is a super-2 number, since 2×401571628582321² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401571628582021) 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 as a sum of consecutive naturals, namely, 200785814291160 + 200785814291161.

It is an arithmetic number, because the mean of its divisors is an integer number (200785814291161).

Almost surely, 2^{401571628582321} is an apocalyptic number.

It is an amenable number.

401571628582321 is a deficient number, since it is larger than the sum of its proper divisors (1).

401571628582321 is an equidigital number, since it uses as much as digits as its factorization.

401571628582321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6451200, while the sum is 55.

The spelling of 401571628582321 in words is "four hundred one trillion, five hundred seventy-one billion, six hundred twenty-eight million, five hundred eighty-two thousand, three hundred twenty-one".