1111110440256 has 112 divisors (see below), whose sum is σ = 3270356476800. Its totient is φ = 369928221696.

The previous prime is 1111110440221. The next prime is 1111110440257. The reversal of 1111110440256 is 6520440111111.

It is a happy number.

It is a super-3 number, since 3×1111110440256³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111110440257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066596 + ... + 1832988.

It is an arithmetic number, because the mean of its divisors is an integer number (29199611400).

Almost surely, 2^{1111110440256} is an apocalyptic number.

1111110440256 is a gapful number since it is divisible by the number (16) 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 1111110440256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635178238400).

1111110440256 is an abundant number, since it is smaller than the sum of its proper divisors (2159246036544).

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

1111110440256 is an equidigital number, since it uses as much as digits as its factorization.

1111110440256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767253 (or 767237 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 1111110440256 its reverse (6520440111111), we get a palindrome (7631550551367).

The spelling of 1111110440256 in words is "one trillion, one hundred eleven billion, one hundred ten million, four hundred forty thousand, two hundred fifty-six".