4314330240 has 256 divisors, whose sum is σ = 15410355840. Its totient is φ = 1017446400.

The previous prime is 4314330239. The next prime is 4314330259. The reversal of 4314330240 is 420334134.

It is a super-2 number, since 2×4314330240² = 37226890839556915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4314330240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778680 + ... + 784200.

Almost surely, 2^4314330240 is an apocalyptic number.

4314330240 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 4314330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705177920).

4314330240 is an abundant number, since it is smaller than the sum of its proper divisors (11096025600).

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

4314330240 is a wasteful number, since it uses less digits than its factorization.

4314330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4314330240 is about 65683.5614137967. The cubic root of 4314330240 is about 1627.9377535578.

Adding to 4314330240 its reverse (420334134), we get a palindrome (4734664374).

The spelling of 4314330240 in words is "four billion, three hundred fourteen million, three hundred thirty thousand, two hundred forty".