1110414111120 has 320 divisors, whose sum is σ = 3873839558400. Its totient is φ = 292327833600.

The previous prime is 1110414111113. The next prime is 1110414111179. The reversal of 1110414111120 is 211114140111.

It is a happy number.

1110414111120 is a `hidden beast` number, since 11 + 10 + 414 + 111 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1110414111093 and 1110414111102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77003271 + ... + 77017689.

It is an arithmetic number, because the mean of its divisors is an integer number (12105748620).

Almost surely, 2^{1110414111120} is an apocalyptic number.

1110414111120 is a gapful number since it is divisible by the number (10) 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 1110414111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936919779200).

1110414111120 is an abundant number, since it is smaller than the sum of its proper divisors (2763425447280).

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

1110414111120 is a wasteful number, since it uses less digits than its factorization.

1110414111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14895 (or 14883 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 1110414111120 its reverse (211114140111), we get a palindrome (1321528251231).

The spelling of 1110414111120 in words is "one trillion, one hundred ten billion, four hundred fourteen million, one hundred eleven thousand, one hundred twenty".