4314315760 has 80 divisors (see below), whose sum is σ = 10675406016. Its totient is φ = 1615867904.

The previous prime is 4314315757. The next prime is 4314315767. The reversal of 4314315760 is 675134134.

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

It is a super-2 number, since 2×4314315760² = 37226640953968755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314315767) 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, 259869 + ... + 275971.

Almost surely, 2^4314315760 is an apocalyptic number.

4314315760 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 4314315760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337703008).

4314315760 is an abundant number, since it is smaller than the sum of its proper divisors (6361090256).

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

4314315760 is a wasteful number, since it uses less digits than its factorization.

4314315760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16330 (or 16324 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 4314315760 is about 65683.4511882559. The cubic root of 4314315760 is about 1627.9359322967.

Adding to 4314315760 its reverse (675134134), we get a palindrome (4989449894).

The spelling of 4314315760 in words is "four billion, three hundred fourteen million, three hundred fifteen thousand, seven hundred sixty".