40140734217121 has 2 divisors, whose sum is σ = 40140734217122. Its totient is φ = 40140734217120.

The previous prime is 40140734217113. The next prime is 40140734217191. The reversal of 40140734217121 is 12171243704104.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33889734177121 + 6251000040000 = 5821489^2 + 2500200^2 .

It is a cyclic number.

It is not a de Polignac number, because 40140734217121 - 2³ = 40140734217113 is a prime.

It is a super-2 number, since 2×40140734217121² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40140734217191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20070367108560 + 20070367108561.

It is an arithmetic number, because the mean of its divisors is an integer number (20070367108561).

Almost surely, 2^{40140734217121} is an apocalyptic number.

It is an amenable number.

40140734217121 is a deficient number, since it is larger than the sum of its proper divisors (1).

40140734217121 is an equidigital number, since it uses as much as digits as its factorization.

40140734217121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 40140734217121 in words is "forty trillion, one hundred forty billion, seven hundred thirty-four million, two hundred seventeen thousand, one hundred twenty-one".