42400440002033 has 2 divisors, whose sum is σ = 42400440002034. Its totient is φ = 42400440002032.

The previous prime is 42400440001981. The next prime is 42400440002059. The reversal of 42400440002033 is 33020004400424.

It is an a-pointer prime, because the next prime (42400440002059) can be obtained adding 42400440002033 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36526273427809 + 5874166574224 = 6043697^2 + 2423668^2 .

It is a cyclic number.

It is not a de Polignac number, because 42400440002033 - 2¹⁶ = 42400439936497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42400440001993 and 42400440002011.

It is not a weakly prime, because it can be changed into another prime (42400440002083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21200220001016 + 21200220001017.

It is an arithmetic number, because the mean of its divisors is an integer number (21200220001017).

Almost surely, 2^{42400440002033} is an apocalyptic number.

It is an amenable number.

42400440002033 is a deficient number, since it is larger than the sum of its proper divisors (1).

42400440002033 is an equidigital number, since it uses as much as digits as its factorization.

42400440002033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 42400440002033 its reverse (33020004400424), we get a palindrome (75420444402457).

The spelling of 42400440002033 in words is "forty-two trillion, four hundred billion, four hundred forty million, two thousand, thirty-three".