40635337344401 has 2 divisors, whose sum is σ = 40635337344402. Its totient is φ = 40635337344400.

The previous prime is 40635337344397. The next prime is 40635337344461. The reversal of 40635337344401 is 10444373353604.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31784236338001 + 8851101006400 = 5637751^2 + 2975080^2 .

It is a cyclic number.

It is not a de Polignac number, because 40635337344401 - 2² = 40635337344397 is a prime.

It is not a weakly prime, because it can be changed into another prime (40635337344461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20317668672200 + 20317668672201.

It is an arithmetic number, because the mean of its divisors is an integer number (20317668672201).

Almost surely, 2^{40635337344401} is an apocalyptic number.

It is an amenable number.

40635337344401 is a deficient number, since it is larger than the sum of its proper divisors (1).

40635337344401 is an equidigital number, since it uses as much as digits as its factorization.

40635337344401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4354560, while the sum is 47.

The spelling of 40635337344401 in words is "forty trillion, six hundred thirty-five billion, three hundred thirty-seven million, three hundred forty-four thousand, four hundred one".