4112110400 has 42 divisors (see below), whose sum is σ = 10118365590. Its totient is φ = 1644843520.

The previous prime is 4112110391. The next prime is 4112110423. The reversal of 4112110400 is 40112114.

It can be written as a sum of positive squares in 3 ways, for example, as 374499904 + 3737610496 = 19352^2 + 61136^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1283435 + ... + 1286634.

Almost surely, 2^4112110400 is an apocalyptic number.

4112110400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4112110400 is an abundant number, since it is smaller than the sum of its proper divisors (6006255190).

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

4112110400 is a wasteful number, since it uses less digits than its factorization.

4112110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570091 (or 2570076 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 4112110400 is about 64125.7389820967. The cubic root of 4112110400 is about 1602.0949640895.

Adding to 4112110400 its reverse (40112114), we get a palindrome (4152222514).

The spelling of 4112110400 in words is "four billion, one hundred twelve million, one hundred ten thousand, four hundred".