4114400112200 has 96 divisors (see below), whose sum is σ = 11407877170560. Its totient is φ = 1349318784000.

The previous prime is 4114400112197. The next prime is 4114400112211. The reversal of 4114400112200 is 22110044114.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63856001 + ... + 63920400.

It is an arithmetic number, because the mean of its divisors is an integer number (118832053860).

Almost surely, 2^{4114400112200} is an apocalyptic number.

4114400112200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114400112200 is an abundant number, since it is smaller than the sum of its proper divisors (7293477058360).

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

4114400112200 is a wasteful number, since it uses less digits than its factorization.

4114400112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127776447 (or 127776438 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 4114400112200 its reverse (22110044114), we get a palindrome (4136510156314).

The spelling of 4114400112200 in words is "four trillion, one hundred fourteen billion, four hundred million, one hundred twelve thousand, two hundred".