4134534560 has 96 divisors (see below), whose sum is σ = 10547569872. Its totient is φ = 1522483200.

The previous prime is 4134534559. The next prime is 4134534583. The reversal of 4134534560 is 654354314.

It can be written as a sum of positive squares in 8 ways, for example, as 3126599056 + 1007935504 = 55916^2 + 31748^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4134534560.

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, 831602 + ... + 836558.

Almost surely, 2^4134534560 is an apocalyptic number.

4134534560 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 4134534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273784936).

4134534560 is an abundant number, since it is smaller than the sum of its proper divisors (6413035312).

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

4134534560 is a wasteful number, since it uses less digits than its factorization.

4134534560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5386 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The square root of 4134534560 is about 64300.3464998440. The cubic root of 4134534560 is about 1605.0018678627.

Adding to 4134534560 its reverse (654354314), we get a palindrome (4788888874).

The spelling of 4134534560 in words is "four billion, one hundred thirty-four million, five hundred thirty-four thousand, five hundred sixty".