4314324040 has 64 divisors (see below), whose sum is σ = 10484334000. Its totient is φ = 1588349952.

The previous prime is 4314324011. The next prime is 4314324041. The reversal of 4314324040 is 404234134.

It can be written as a sum of positive squares in 8 ways, for example, as 1003242276 + 3311081764 = 31674^2 + 57542^2 .

It is a super-2 number, since 2×4314324040² = 37226783844243843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4314323996 and 4314324014.

It is not an unprimeable number, because it can be changed into a prime (4314324041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169594 + ... + 193366.

Almost surely, 2^4314324040 is an apocalyptic number.

4314324040 is a gapful number since it is divisible by the number (40) 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 4314324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242167000).

4314324040 is an abundant number, since it is smaller than the sum of its proper divisors (6170009960).

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

4314324040 is a wasteful number, since it uses less digits than its factorization.

4314324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24146 (or 24142 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4314324040 is about 65683.5142178005. The cubic root of 4314324040 is about 1627.9369737366.

Adding to 4314324040 its reverse (404234134), we get a palindrome (4718558174).

The spelling of 4314324040 in words is "four billion, three hundred fourteen million, three hundred twenty-four thousand, forty".