40042000400117 has 2 divisors, whose sum is σ = 40042000400118. Its totient is φ = 40042000400116.

The previous prime is 40042000400023. The next prime is 40042000400137. The reversal of 40042000400117 is 71100400024004.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31914432309796 + 8127568090321 = 5649286^2 + 2850889^2 .

It is a cyclic number.

It is not a de Polignac number, because 40042000400117 - 2⁴² = 35643953889013 is a prime.

It is a super-2 number, since 2×40042000400117² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40042000400092 and 40042000400101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40042000400137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20021000200058 + 20021000200059.

It is an arithmetic number, because the mean of its divisors is an integer number (20021000200059).

Almost surely, 2^{40042000400117} is an apocalyptic number.

It is an amenable number.

40042000400117 is a deficient number, since it is larger than the sum of its proper divisors (1).

40042000400117 is an equidigital number, since it uses as much as digits as its factorization.

40042000400117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 896, while the sum is 23.

The spelling of 40042000400117 in words is "forty trillion, forty-two billion, four hundred thousand, one hundred seventeen".