42882510446407 has 2 divisors, whose sum is σ = 42882510446408. Its totient is φ = 42882510446406.

The previous prime is 42882510446353. The next prime is 42882510446431. The reversal of 42882510446407 is 70464401528824.

42882510446407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42882510446407 is a prime.

It is a super-3 number, since 3×42882510446407³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42882510146407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21441255223203 + 21441255223204.

It is an arithmetic number, because the mean of its divisors is an integer number (21441255223204).

Almost surely, 2^{42882510446407} is an apocalyptic number.

42882510446407 is a deficient number, since it is larger than the sum of its proper divisors (1).

42882510446407 is an equidigital number, since it uses as much as digits as its factorization.

42882510446407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13762560, while the sum is 55.

The spelling of 42882510446407 in words is "forty-two trillion, eight hundred eighty-two billion, five hundred ten million, four hundred forty-six thousand, four hundred seven".