1114082340 has 192 divisors, whose sum is σ = 3771629568. Its totient is φ = 240307200.

The previous prime is 1114082339. The next prime is 1114082341. The reversal of 1114082340 is 432804111.

It is an interprime number because it is at equal distance from previous prime (1114082339) and next prime (1114082341).

It is a self number, because there is not a number n which added to its sum of digits gives 1114082340.

It is not an unprimeable number, because it can be changed into a prime (1114082341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532777 + ... + 534863.

It is an arithmetic number, because the mean of its divisors is an integer number (19643904).

Almost surely, 2^1114082340 is an apocalyptic number.

1114082340 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 1114082340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885814784).

1114082340 is an abundant number, since it is smaller than the sum of its proper divisors (2657547228).

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

1114082340 is a wasteful number, since it uses less digits than its factorization.

1114082340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1114082340 is about 33377.8720112592. The cubic root of 1114082340 is about 1036.6665768321. Note that the first 3 decimals are identical.

Adding to 1114082340 its reverse (432804111), we get a palindrome (1546886451).

The spelling of 1114082340 in words is "one billion, one hundred fourteen million, eighty-two thousand, three hundred forty".