40145413633337 has 2 divisors, whose sum is σ = 40145413633338. Its totient is φ = 40145413633336.

The previous prime is 40145413633327. The next prime is 40145413633393. The reversal of 40145413633337 is 73333631454104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32944890775696 + 7200522857641 = 5739764^2 + 2683379^2 .

It is a cyclic number.

It is not a de Polignac number, because 40145413633337 - 2¹⁴ = 40145413616953 is a prime.

It is a super-2 number, since 2×40145413633337² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40145413633291 and 40145413633300.

It is not a weakly prime, because it can be changed into another prime (40145413633327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20072706816668 + 20072706816669.

It is an arithmetic number, because the mean of its divisors is an integer number (20072706816669).

Almost surely, 2^{40145413633337} is an apocalyptic number.

It is an amenable number.

40145413633337 is a deficient number, since it is larger than the sum of its proper divisors (1).

40145413633337 is an equidigital number, since it uses as much as digits as its factorization.

40145413633337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3265920, while the sum is 47.

The spelling of 40145413633337 in words is "forty trillion, one hundred forty-five billion, four hundred thirteen million, six hundred thirty-three thousand, three hundred thirty-seven".