4516260000 has 240 divisors, whose sum is σ = 16932129984. Its totient is φ = 1032192000.

The previous prime is 4516259971. The next prime is 4516260011. The reversal of 4516260000 is 626154.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 39 ways as a sum of consecutive naturals, for example, 414624 + ... + 425376.

Almost surely, 2^4516260000 is an apocalyptic number.

4516260000 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 4516260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8466064992).

4516260000 is an abundant number, since it is smaller than the sum of its proper divisors (12415869984).

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

4516260000 is a wasteful number, since it uses less digits than its factorization.

4516260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10793 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4516260000 is about 67203.1249273425. The cubic root of 4516260000 is about 1652.9497281785.

Adding to 4516260000 its reverse (626154), we get a palindrome (4516886154).

The spelling of 4516260000 in words is "four billion, five hundred sixteen million, two hundred sixty thousand".