40137041378267 has 2 divisors, whose sum is σ = 40137041378268. Its totient is φ = 40137041378266.

The previous prime is 40137041378249. The next prime is 40137041378279. The reversal of 40137041378267 is 76287314073104.

40137041378267 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 is a cyclic number.

It is not a de Polignac number, because 40137041378267 - 2³⁸ = 39862163471323 is a prime.

It is a super-2 number, since 2×40137041378267² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40137041371267) 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, 20068520689133 + 20068520689134.

It is an arithmetic number, because the mean of its divisors is an integer number (20068520689134).

Almost surely, 2^{40137041378267} is an apocalyptic number.

40137041378267 is a deficient number, since it is larger than the sum of its proper divisors (1).

40137041378267 is an equidigital number, since it uses as much as digits as its factorization.

40137041378267 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4741632, while the sum is 53.

The spelling of 40137041378267 in words is "forty trillion, one hundred thirty-seven billion, forty-one million, three hundred seventy-eight thousand, two hundred sixty-seven".