40145413683337 has 2 divisors, whose sum is σ = 40145413683338. Its totient is φ = 40145413683336.

The previous prime is 40145413683253. The next prime is 40145413683383. The reversal of 40145413683337 is 73338631454104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33496591565376 + 6648822117961 = 5787624^2 + 2578531^2 .

It is a cyclic number.

It is not a de Polignac number, because 40145413683337 - 2⁷ = 40145413683209 is a prime.

It is a super-3 number, since 3×40145413683337³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (40145413633337) 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, 20072706841668 + 20072706841669.

It is an arithmetic number, because the mean of its divisors is an integer number (20072706841669).

Almost surely, 2^{40145413683337} is an apocalyptic number.

It is an amenable number.

40145413683337 is a deficient number, since it is larger than the sum of its proper divisors (1).

40145413683337 is an equidigital number, since it uses as much as digits as its factorization.

40145413683337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8709120, while the sum is 52.

The spelling of 40145413683337 in words is "forty trillion, one hundred forty-five billion, four hundred thirteen million, six hundred eighty-three thousand, three hundred thirty-seven".