40137013442321 has 2 divisors, whose sum is σ = 40137013442322. Its totient is φ = 40137013442320.

The previous prime is 40137013442299. The next prime is 40137013442363. The reversal of 40137013442321 is 12324431073104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20378001640000 + 19759011802321 = 4514200^2 + 4445111^2 .

It is a cyclic number.

It is not a de Polignac number, because 40137013442321 - 2²⁶ = 40136946333457 is a prime.

It is a super-2 number, since 2×40137013442321² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40137013442521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20068506721160 + 20068506721161.

It is an arithmetic number, because the mean of its divisors is an integer number (20068506721161).

Almost surely, 2^{40137013442321} is an apocalyptic number.

It is an amenable number.

40137013442321 is a deficient number, since it is larger than the sum of its proper divisors (1).

40137013442321 is an equidigital number, since it uses as much as digits as its factorization.

40137013442321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 40137013442321 in words is "forty trillion, one hundred thirty-seven billion, thirteen million, four hundred forty-two thousand, three hundred twenty-one".