1412441320401 has 72 divisors (see below), whose sum is σ = 2188882308600. Its totient is φ = 877436522496.

The previous prime is 1412441320399. The next prime is 1412441320421. The reversal of 1412441320401 is 1040231442141.

1412441320401 is a `hidden beast` number, since 1 + 4 + 1 + 244 + 13 + 2 + 0 + 401 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 371184344001 + 1041256976400 = 609249^2 + 1020420^2 .

It is not a de Polignac number, because 1412441320401 - 2¹ = 1412441320399 is a prime.

It is a super-2 number, since 2×1412441320401² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1412441320421) 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 71 ways as a sum of consecutive naturals, for example, 122847285 + ... + 122858781.

It is an arithmetic number, because the mean of its divisors is an integer number (30401143175).

Almost surely, 2^{1412441320401} is an apocalyptic number.

It is an amenable number.

1412441320401 is a deficient number, since it is larger than the sum of its proper divisors (776440988199).

1412441320401 is a wasteful number, since it uses less digits than its factorization.

1412441320401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12003 (or 11983 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1412441320401 its reverse (1040231442141), we get a palindrome (2452672762542).

The spelling of 1412441320401 in words is "one trillion, four hundred twelve billion, four hundred forty-one million, three hundred twenty thousand, four hundred one".