40133556600349 has 2 divisors, whose sum is σ = 40133556600350. Its totient is φ = 40133556600348.

The previous prime is 40133556600301. The next prime is 40133556600359. The reversal of 40133556600349 is 94300665533104.

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., 37686891271225 + 2446665329124 = 6138965^2 + 1564182^2 .

It is a cyclic number.

It is not a de Polignac number, because 40133556600349 - 2²³ = 40133548211741 is a prime.

It is a super-2 number, since 2×40133556600349² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40133556600359) 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, 20066778300174 + 20066778300175.

It is an arithmetic number, because the mean of its divisors is an integer number (20066778300175).

Almost surely, 2^{40133556600349} is an apocalyptic number.

It is an amenable number.

40133556600349 is a deficient number, since it is larger than the sum of its proper divisors (1).

40133556600349 is an equidigital number, since it uses as much as digits as its factorization.

40133556600349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3499200, while the sum is 49.

The spelling of 40133556600349 in words is "forty trillion, one hundred thirty-three billion, five hundred fifty-six million, six hundred thousand, three hundred forty-nine".