4113360000 has 480 divisors, whose sum is σ = 15378749100. Its totient is φ = 1053696000.

The previous prime is 4113359977. The next prime is 4113360047. The reversal of 4113360000 is 633114.

It can be written as a sum of positive squares in 10 ways, for example, as 10188864 + 4103171136 = 3192^2 + 64056^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20879902 + ... + 20880098.

Almost surely, 2^4113360000 is an apocalyptic number.

4113360000 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 4113360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689374550).

4113360000 is an abundant number, since it is smaller than the sum of its proper divisors (11265389100).

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

4113360000 is a wasteful number, since it uses less digits than its factorization.

4113360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4113360000 is about 64135.4815995015. The cubic root of 4113360000 is about 1602.2572307375.

Adding to 4113360000 its reverse (633114), we get a palindrome (4113993114).

The spelling of 4113360000 in words is "four billion, one hundred thirteen million, three hundred sixty thousand".