40130103314401 has 2 divisors, whose sum is σ = 40130103314402. Its totient is φ = 40130103314400.

The previous prime is 40130103314363. The next prime is 40130103314423. The reversal of 40130103314401 is 10441330103104.

It is a happy number.

40130103314401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22316638954401 + 17813464360000 = 4724049^2 + 4220600^2 .

It is a cyclic number.

It is not a de Polignac number, because 40130103314401 - 2¹¹ = 40130103312353 is a prime.

It is a super-2 number, since 2×40130103314401² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40130103314461) 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, 20065051657200 + 20065051657201.

It is an arithmetic number, because the mean of its divisors is an integer number (20065051657201).

Almost surely, 2^{40130103314401} is an apocalyptic number.

It is an amenable number.

40130103314401 is a deficient number, since it is larger than the sum of its proper divisors (1).

40130103314401 is an equidigital number, since it uses as much as digits as its factorization.

40130103314401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 40130103314401 its reverse (10441330103104), we get a palindrome (50571433417505).

The spelling of 40130103314401 in words is "forty trillion, one hundred thirty billion, one hundred three million, three hundred fourteen thousand, four hundred one".