4112114133204 has 864 divisors, whose sum is σ = 14177804256000. Its totient is φ = 1025686126080.

The previous prime is 4112114133163. The next prime is 4112114133223. The reversal of 4112114133204 is 4023314112114.

It is a happy number.

4112114133204 is a `hidden beast` number, since 4 + 1 + 1 + 211 + 413 + 32 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4252444329 + ... + 4252445295.

Almost surely, 2^{4112114133204} is an apocalyptic number.

4112114133204 is a gapful number since it is divisible by the number (44) 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 4112114133204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7088902128000).

4112114133204 is an abundant number, since it is smaller than the sum of its proper divisors (10065690122796).

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

4112114133204 is a wasteful number, since it uses less digits than its factorization.

4112114133204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4112114133204 its reverse (4023314112114), we get a palindrome (8135428245318).

The spelling of 4112114133204 in words is "four trillion, one hundred twelve billion, one hundred fourteen million, one hundred thirty-three thousand, two hundred four".