414042000024 has 64 divisors (see below), whose sum is σ = 1100489068800. Its totient is φ = 129522563456.

The previous prime is 414041999953. The next prime is 414042000059. The reversal of 414042000024 is 420000240414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7046934 + ... + 7105445.

It is an arithmetic number, because the mean of its divisors is an integer number (17195141700).

Almost surely, 2^414042000024 is an apocalyptic number.

It is an amenable number.

414042000024 is an abundant number, since it is smaller than the sum of its proper divisors (686447068776).

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

414042000024 is a wasteful number, since it uses less digits than its factorization.

414042000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14152464 (or 14152460 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 414042000024 its reverse (420000240414), we get a palindrome (834042240438).

The spelling of 414042000024 in words is "four hundred fourteen billion, forty-two million, twenty-four", and thus it is an aban number.