1114004011120 has 240 divisors, whose sum is σ = 3503910110400. Its totient is φ = 320512389120.

The previous prime is 1114004011097. The next prime is 1114004011147. The reversal of 1114004011120 is 211104004111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1114004011094 and 1114004011103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248556 + ... + 1513204.

It is an arithmetic number, because the mean of its divisors is an integer number (14599625460).

Almost surely, 2^{1114004011120} is an apocalyptic number.

1114004011120 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 1114004011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751955055200).

1114004011120 is an abundant number, since it is smaller than the sum of its proper divisors (2389906099280).

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

1114004011120 is a wasteful number, since it uses less digits than its factorization.

1114004011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264704 (or 1264687 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1114004011120 its reverse (211104004111), we get a palindrome (1325108015231).

The spelling of 1114004011120 in words is "one trillion, one hundred fourteen billion, four million, eleven thousand, one hundred twenty".