42414841424 has 40 divisors (see below), whose sum is σ = 87111835200. Its totient is φ = 19937207808.

The previous prime is 42414841393. The next prime is 42414841439.

42414841424 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151877 + ... + 328475.

It is an arithmetic number, because the mean of its divisors is an integer number (2177795880).

Almost surely, 2^42414841424 is an apocalyptic number.

It is an amenable number.

42414841424 is an abundant number, since it is smaller than the sum of its proper divisors (44696993776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42414841424 is a wasteful number, since it uses less digits than its factorization.

42414841424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177507 (or 177501 counting only the distinct ones).

The product of its digits is 131072, while the sum is 38.

The spelling of 42414841424 in words is "forty-two billion, four hundred fourteen million, eight hundred forty-one thousand, four hundred twenty-four".