4611520000 has 100 divisors (see below), whose sum is σ = 11514654756. Its totient is φ = 1844480000.

The previous prime is 4611519989. The next prime is 4611520013. The reversal of 4611520000 is 251164.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×4611520000² = 42532233420800000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4611520000.

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 9 ways as a sum of consecutive naturals, for example, 312795 + ... + 327205.

Almost surely, 2^4611520000 is an apocalyptic number.

4611520000 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 4611520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757327378).

4611520000 is an abundant number, since it is smaller than the sum of its proper divisors (6903134756).

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

4611520000 is an frugal number, since it uses more digits than its factorization.

4611520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14449 (or 14418 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 4611520000 is about 67908.1732930580. The cubic root of 4611520000 is about 1664.4906713742.

Adding to 4611520000 its reverse (251164), we get a palindrome (4611771164).

The spelling of 4611520000 in words is "four billion, six hundred eleven million, five hundred twenty thousand".