104414111120 has 80 divisors (see below), whose sum is σ = 264901259520. Its totient is φ = 37958860800.

The previous prime is 104414111083. The next prime is 104414111161. The reversal of 104414111120 is 21111414401.

104414111120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 104414111092 and 104414111101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3930041 + ... + 3956519.

It is an arithmetic number, because the mean of its divisors is an integer number (3311265744).

Almost surely, 2^104414111120 is an apocalyptic number.

104414111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104414111120 is an abundant number, since it is smaller than the sum of its proper divisors (160487148400).

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

104414111120 is a wasteful number, since it uses less digits than its factorization.

104414111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30984 (or 30978 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 104414111120 its reverse (21111414401), we get a palindrome (125525525521).

The spelling of 104414111120 in words is "one hundred four billion, four hundred fourteen million, one hundred eleven thousand, one hundred twenty".