40814101 has 2 divisors, whose sum is σ = 40814102. Its totient is φ = 40814100.

The previous prime is 40814099. The next prime is 40814119. The reversal of 40814101 is 10141804.

40814101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39816100 + 998001 = 6310^2 + 999^2 .

It is a cyclic number.

It is not a de Polignac number, because 40814101 - 2¹ = 40814099 is a prime.

Together with 40814099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40818101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20407050 + 20407051.

It is an arithmetic number, because the mean of its divisors is an integer number (20407051).

Almost surely, 2^40814101 is an apocalyptic number.

40814101 is the 4041-st centered pentagonal number.

It is an amenable number.

40814101 is a deficient number, since it is larger than the sum of its proper divisors (1).

40814101 is an equidigital number, since it uses as much as digits as its factorization.

40814101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 40814101 is about 6388.5914723044. The cubic root of 40814101 is about 344.2997798060.

Adding to 40814101 its reverse (10141804), we get a palindrome (50955905).

It can be divided in two parts, 40814 and 101, that multiplied together give a palindrome (4122214).

The spelling of 40814101 in words is "forty million, eight hundred fourteen thousand, one hundred one".