40042240002181 has 2 divisors, whose sum is σ = 40042240002182. Its totient is φ = 40042240002180.

The previous prime is 40042240002131. The next prime is 40042240002197. The reversal of 40042240002181 is 18120004224004.

40042240002181 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., 38150696390625 + 1891543611556 = 6176625^2 + 1375334^2 .

It is a cyclic number.

It is not a de Polignac number, because 40042240002181 - 2¹⁹ = 40042239477893 is a prime.

It is a super-2 number, since 2×40042240002181² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40042240002131) 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, 20021120001090 + 20021120001091.

It is an arithmetic number, because the mean of its divisors is an integer number (20021120001091).

Almost surely, 2^{40042240002181} is an apocalyptic number.

It is an amenable number.

40042240002181 is a deficient number, since it is larger than the sum of its proper divisors (1).

40042240002181 is an equidigital number, since it uses as much as digits as its factorization.

40042240002181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 40042240002181 its reverse (18120004224004), we get a palindrome (58162244226185).

The spelling of 40042240002181 in words is "forty trillion, forty-two billion, two hundred forty million, two thousand, one hundred eighty-one".