4000113600 has 672 divisors, whose sum is σ = 16327526400. Its totient is φ = 836567040.

The previous prime is 4000113599. The next prime is 4000113631. The reversal of 4000113600 is 63110004.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4000113600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26846326 + ... + 26846474.

Almost surely, 2^4000113600 is an apocalyptic number.

4000113600 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 4000113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8163763200).

4000113600 is an abundant number, since it is smaller than the sum of its proper divisors (12327412800).

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

4000113600 is a wasteful number, since it uses less digits than its factorization.

4000113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4000113600 is about 63246.4512838467. The cubic root of 4000113600 is about 1587.4160792226.

Adding to 4000113600 its reverse (63110004), we get a palindrome (4063223604).

The spelling of 4000113600 in words is "four billion, one hundred thirteen thousand, six hundred".