42419248825 has 24 divisors (see below), whose sum is σ = 53919595800. Its totient is φ = 33085094400.

The previous prime is 42419248819. The next prime is 42419248829. The reversal of 42419248825 is 52884291424.

42419248825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 32292449401 + 10126799424 = 179701^2 + 100632^2 .

It is not a de Polignac number, because 42419248825 - 2³⁵ = 8059510457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42419248829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1574367 + ... + 1601083.

It is an arithmetic number, because the mean of its divisors is an integer number (2246649825).

Almost surely, 2^42419248825 is an apocalyptic number.

It is an amenable number.

42419248825 is a deficient number, since it is larger than the sum of its proper divisors (11500346975).

42419248825 is a wasteful number, since it uses less digits than its factorization.

42419248825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28317 (or 28312 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 49.

The spelling of 42419248825 in words is "forty-two billion, four hundred nineteen million, two hundred forty-eight thousand, eight hundred twenty-five".