4314434124 has 216 divisors, whose sum is σ = 13837013568. Its totient is φ = 1034167680.

The previous prime is 4314434087. The next prime is 4314434143. The reversal of 4314434124 is 4214344134.

It is a super-2 number, since 2×4314434124² = 37228683620671294752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4314434091 and 4314434100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1091119 + ... + 1095065.

It is an arithmetic number, because the mean of its divisors is an integer number (64060248).

Almost surely, 2^4314434124 is an apocalyptic number.

4314434124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314434124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918506784).

4314434124 is an abundant number, since it is smaller than the sum of its proper divisors (9522579444).

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

4314434124 is a wasteful number, since it uses less digits than its factorization.

4314434124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005 (or 3983 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 4314434124 is about 65684.3522005051. The cubic root of 4314434124 is about 1627.9508197287.

Adding to 4314434124 its reverse (4214344134), we get a palindrome (8528778258).

The spelling of 4314434124 in words is "four billion, three hundred fourteen million, four hundred thirty-four thousand, one hundred twenty-four".