140044434110401 has 2 divisors, whose sum is σ = 140044434110402. Its totient is φ = 140044434110400.

The previous prime is 140044434110353. The next prime is 140044434110407. The reversal of 140044434110401 is 104011434440041.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113458819407025 + 26585614703376 = 10651705^2 + 5156124^2 .

It is a cyclic number.

It is not a de Polignac number, because 140044434110401 - 2¹¹ = 140044434108353 is a prime.

It is a super-2 number, since 2×140044434110401² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (140044434110407) 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, 70022217055200 + 70022217055201.

It is an arithmetic number, because the mean of its divisors is an integer number (70022217055201).

Almost surely, 2^{140044434110401} is an apocalyptic number.

It is an amenable number.

140044434110401 is a deficient number, since it is larger than the sum of its proper divisors (1).

140044434110401 is an equidigital number, since it uses as much as digits as its factorization.

140044434110401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 140044434110401 its reverse (104011434440041), we get a palindrome (244055868550442).

The spelling of 140044434110401 in words is "one hundred forty trillion, forty-four billion, four hundred thirty-four million, one hundred ten thousand, four hundred one".