4513061440 has 112 divisors (see below), whose sum is σ = 10958169600. Its totient is φ = 1770043392.

The previous prime is 4513061411. The next prime is 4513061473. The reversal of 4513061440 is 441603154.

It is a super-2 number, since 2×4513061440² = 40735447122429747200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4513061399 and 4513061408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4221226 + ... + 4222294.

It is an arithmetic number, because the mean of its divisors is an integer number (97840800).

Almost surely, 2^4513061440 is an apocalyptic number.

4513061440 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 4513061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5479084800).

4513061440 is an abundant number, since it is smaller than the sum of its proper divisors (6445108160).

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

4513061440 is a wasteful number, since it uses less digits than its factorization.

4513061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4513061440 is about 67179.3230093903. The cubic root of 4513061440 is about 1652.5594120372.

Adding to 4513061440 its reverse (441603154), we get a palindrome (4954664594).

The spelling of 4513061440 in words is "four billion, five hundred thirteen million, sixty-one thousand, four hundred forty".