1442561820561 has 12 divisors (see below), whose sum is σ = 2086276067460. Its totient is φ = 960519114240.

The previous prime is 1442561820551. The next prime is 1442561820589. The reversal of 1442561820561 is 1650281652441.

1442561820561 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 5 + 6 + 1 + 82 + 0 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1263924571536 + 178637249025 = 1124244^2 + 422655^2 .

It is not a de Polignac number, because 1442561820561 - 2¹³ = 1442561812369 is a prime.

It is a super-2 number, since 2×1442561820561² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1442561820541) 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 in 11 ways as a sum of consecutive naturals, for example, 99056160 + ... + 99070721.

It is an arithmetic number, because the mean of its divisors is an integer number (173856338955).

Almost surely, 2^{1442561820561} is an apocalyptic number.

It is an amenable number.

1442561820561 is a deficient number, since it is larger than the sum of its proper divisors (643714246899).

1442561820561 is a wasteful number, since it uses less digits than its factorization.

1442561820561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198127696 (or 198127693 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1442561820561 in words is "one trillion, four hundred forty-two billion, five hundred sixty-one million, eight hundred twenty thousand, five hundred sixty-one".