4112013600 has 720 divisors, whose sum is σ = 16333954560. Its totient is φ = 1003622400.

The previous prime is 4112013593. The next prime is 4112013637. The reversal of 4112013600 is 63102114.

It is a happy number.

4112013600 is a `hidden beast` number, since 41 + 1 + 20 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 119 ways as a sum of consecutive naturals, for example, 46202356 + ... + 46202444.

It is an arithmetic number, because the mean of its divisors is an integer number (22686048).

Almost surely, 2^4112013600 is an apocalyptic number.

4112013600 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 4112013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8166977280).

4112013600 is an abundant number, since it is smaller than the sum of its proper divisors (12221940960).

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

4112013600 is a wasteful number, since it uses less digits than its factorization.

4112013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4112013600 is about 64124.9842105244. The cubic root of 4112013600 is about 1602.0823927661.

Adding to 4112013600 its reverse (63102114), we get a palindrome (4175115714).

The spelling of 4112013600 in words is "four billion, one hundred twelve million, thirteen thousand, six hundred".