414042430424 has 64 divisors (see below), whose sum is σ = 909009077760. Its totient is φ = 173092988160.

The previous prime is 414042430393. The next prime is 414042430441. The reversal of 414042430424 is 424034240414.

It is a super-2 number, since 2×414042430424² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29765279 + ... + 29779185.

It is an arithmetic number, because the mean of its divisors is an integer number (14203266840).

Almost surely, 2^414042430424 is an apocalyptic number.

It is an amenable number.

414042430424 is an abundant number, since it is smaller than the sum of its proper divisors (494966647336).

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

414042430424 is a wasteful number, since it uses less digits than its factorization.

414042430424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26928 (or 26924 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 414042430424 its reverse (424034240414), we get a palindrome (838076670838).

The spelling of 414042430424 in words is "four hundred fourteen billion, forty-two million, four hundred thirty thousand, four hundred twenty-four".