40137447844157 has 2 divisors, whose sum is σ = 40137447844158. Its totient is φ = 40137447844156.

The previous prime is 40137447844097. The next prime is 40137447844211. The reversal of 40137447844157 is 75144874473104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26048580495961 + 14088867348196 = 5103781^2 + 3753514^2 .

It is a cyclic number.

It is not a de Polignac number, because 40137447844157 - 2³⁴ = 40120267974973 is a prime.

It is a super-3 number, since 3×40137447844157³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 40137447844096 and 40137447844105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40137447840157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20068723922078 + 20068723922079.

It is an arithmetic number, because the mean of its divisors is an integer number (20068723922079).

Almost surely, 2^{40137447844157} is an apocalyptic number.

It is an amenable number.

40137447844157 is a deficient number, since it is larger than the sum of its proper divisors (1).

40137447844157 is an equidigital number, since it uses as much as digits as its factorization.

40137447844157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42147840, while the sum is 59.

The spelling of 40137447844157 in words is "forty trillion, one hundred thirty-seven billion, four hundred forty-seven million, eight hundred forty-four thousand, one hundred fifty-seven".