414130021424 has 80 divisors (see below), whose sum is σ = 925998732288. Its totient is φ = 175744567296.

The previous prime is 414130021421. The next prime is 414130021427. The reversal of 414130021424 is 424120031414.

It is an interprime number because it is at equal distance from previous prime (414130021421) and next prime (414130021427).

It is a junction number, because it is equal to n+sod(n) for n = 414130021393 and 414130021402.

It is not an unprimeable number, because it can be changed into a prime (414130021421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31067849 + ... + 31081175.

Almost surely, 2^414130021424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414130021424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462999366144).

414130021424 is an abundant number, since it is smaller than the sum of its proper divisors (511868710864).

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

414130021424 is a wasteful number, since it uses less digits than its factorization.

414130021424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16042 (or 16036 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 414130021424 its reverse (424120031414), we get a palindrome (838250052838).

The spelling of 414130021424 in words is "four hundred fourteen billion, one hundred thirty million, twenty-one thousand, four hundred twenty-four".