4114013314200 has 48 divisors (see below), whose sum is σ = 12753441275880. Its totient is φ = 1097070216960.

The previous prime is 4114013314189. The next prime is 4114013314219. The reversal of 4114013314200 is 24133104114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3428343829 + ... + 3428345028.

Almost surely, 2^{4114013314200} is an apocalyptic number.

4114013314200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114013314200 is an abundant number, since it is smaller than the sum of its proper divisors (8639427961680).

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

4114013314200 is a wasteful number, since it uses less digits than its factorization.

4114013314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6856688876 (or 6856688867 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 4114013314200 its reverse (24133104114), we get a palindrome (4138146418314).

The spelling of 4114013314200 in words is "four trillion, one hundred fourteen billion, thirteen million, three hundred fourteen thousand, two hundred".