4611320000 has 280 divisors, whose sum is σ = 13406908416. Its totient is φ = 1540224000.

The previous prime is 4611319997. The next prime is 4611320069. The reversal of 4611320000 is 231164.

It is a tau number, because it is divible by the number of its divisors (280).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12039809 + ... + 12040191.

Almost surely, 2^4611320000 is an apocalyptic number.

4611320000 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 4611320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703454208).

4611320000 is an abundant number, since it is smaller than the sum of its proper divisors (8795588416).

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

4611320000 is an equidigital number, since it uses as much as digits as its factorization.

4611320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4611320000 is about 67906.7007002991. The cubic root of 4611320000 is about 1664.4666082347.

Adding to 4611320000 its reverse (231164), we get a palindrome (4611551164).

The spelling of 4611320000 in words is "four billion, six hundred eleven million, three hundred twenty thousand".