42824042824 has 48 divisors (see below), whose sum is σ = 82636447860. Its totient is φ = 20797920000.

The previous prime is 42824042819. The next prime is 42824042827.

It is a happy number.

42824042824 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 41013540324 + 1810502500 = 202518^2 + 42550^2 .

It is not an unprimeable number, because it can be changed into a prime (42824042827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4320274 + ... + 4330174.

Almost surely, 2^42824042824 is an apocalyptic number.

It is an amenable number.

42824042824 is a deficient number, since it is larger than the sum of its proper divisors (39812405036).

42824042824 is a wasteful number, since it uses less digits than its factorization.

42824042824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10162 (or 10057 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 42824042824 in words is "forty-two billion, eight hundred twenty-four million, forty-two thousand, eight hundred twenty-four".