40132133413901 has 2 divisors, whose sum is σ = 40132133413902. Its totient is φ = 40132133413900.

The previous prime is 40132133413829. The next prime is 40132133413903. The reversal of 40132133413901 is 10931433123104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28493187085801 + 11638946328100 = 5337901^2 + 3411590^2 .

It is a cyclic number.

It is not a de Polignac number, because 40132133413901 - 2⁴² = 35734086902797 is a prime.

It is a super-2 number, since 2×40132133413901² (a number of 28 digits) contains 22 as substring.

Together with 40132133413903, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40132133413903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20066066706950 + 20066066706951.

It is an arithmetic number, because the mean of its divisors is an integer number (20066066706951).

Almost surely, 2^{40132133413901} is an apocalyptic number.

It is an amenable number.

40132133413901 is a deficient number, since it is larger than the sum of its proper divisors (1).

40132133413901 is an equidigital number, since it uses as much as digits as its factorization.

40132133413901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 40132133413901 in words is "forty trillion, one hundred thirty-two billion, one hundred thirty-three million, four hundred thirteen thousand, nine hundred one".