4314144560 has 80 divisors (see below), whose sum is σ = 11518191360. Its totient is φ = 1486206720.

The previous prime is 4314144551. The next prime is 4314144581. The reversal of 4314144560 is 654414134.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4314144560² = 37223686569155187200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112292 + ... + 145731.

It is an arithmetic number, because the mean of its divisors is an integer number (143977392).

Almost surely, 2^4314144560 is an apocalyptic number.

4314144560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314144560 is an abundant number, since it is smaller than the sum of its proper divisors (7204046800).

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

4314144560 is a wasteful number, since it uses less digits than its factorization.

4314144560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258066 (or 258060 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 4314144560 is about 65682.1479551331. The cubic root of 4314144560 is about 1627.9143988460.

Adding to 4314144560 its reverse (654414134), we get a palindrome (4968558694).

The spelling of 4314144560 in words is "four billion, three hundred fourteen million, one hundred forty-four thousand, five hundred sixty".