4314313440 has 144 divisors (see below), whose sum is σ = 14900388048. Its totient is φ = 1136590848.

The previous prime is 4314313411. The next prime is 4314313457. The reversal of 4314313440 is 443134134.

4314313440 is a `hidden beast` number, since 4 + 314 + 3 + 1 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4314313440² = 37226600917129267200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101472 + ... + 137568.

It is an arithmetic number, because the mean of its divisors is an integer number (103474917).

Almost surely, 2^4314313440 is an apocalyptic number.

4314313440 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 4314313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7450194024).

4314313440 is an abundant number, since it is smaller than the sum of its proper divisors (10586074608).

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

4314313440 is a wasteful number, since it uses less digits than its factorization.

4314313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36201 (or 36190 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4314313440 is about 65683.4335277930. The cubic root of 4314313440 is about 1627.9356404921.

Adding to 4314313440 its reverse (443134134), we get a palindrome (4757447574).

The spelling of 4314313440 in words is "four billion, three hundred fourteen million, three hundred thirteen thousand, four hundred forty".