1116875566440 has 320 divisors, whose sum is σ = 3876776663760. Its totient is φ = 288177315840.

The previous prime is 1116875566439. The next prime is 1116875566441. The reversal of 1116875566440 is 446655786111.

1116875566440 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 8 + 75 + 566 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1116875566439) and next prime (1116875566441).

It can be written as a sum of positive squares in 8 ways, for example, as 169745648004 + 947129918436 = 412002^2 + 973206^2 .

It is a super-2 number, since 2×1116875566440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1116875566441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21672544 + ... + 21724016.

Almost surely, 2^{1116875566440} is an apocalyptic number.

1116875566440 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 1116875566440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938388331880).

1116875566440 is an abundant number, since it is smaller than the sum of its proper divisors (2759901097320).

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

1116875566440 is a wasteful number, since it uses less digits than its factorization.

1116875566440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51714 (or 51701 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1116875566440 in words is "one trillion, one hundred sixteen billion, eight hundred seventy-five million, five hundred sixty-six thousand, four hundred forty".