40097684896337 has 2 divisors, whose sum is σ = 40097684896338. Its totient is φ = 40097684896336.

The previous prime is 40097684896327. The next prime is 40097684896343. The reversal of 40097684896337 is 73369848679004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37550472088336 + 2547212808001 = 6127844^2 + 1595999^2 .

It is a cyclic number.

It is not a de Polignac number, because 40097684896337 - 2⁸ = 40097684896081 is a prime.

It is a super-3 number, since 3×40097684896337³ (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (40097684896307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20048842448168 + 20048842448169.

It is an arithmetic number, because the mean of its divisors is an integer number (20048842448169).

Almost surely, 2^{40097684896337} is an apocalyptic number.

It is an amenable number.

40097684896337 is a deficient number, since it is larger than the sum of its proper divisors (1).

40097684896337 is an equidigital number, since it uses as much as digits as its factorization.

40097684896337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1316818944, while the sum is 74.

The spelling of 40097684896337 in words is "forty trillion, ninety-seven billion, six hundred eighty-four million, eight hundred ninety-six thousand, three hundred thirty-seven".