1140114110320 has 80 divisors (see below), whose sum is σ = 2685261078720. Its totient is φ = 450142728192.

The previous prime is 1140114110297. The next prime is 1140114110321. The reversal of 1140114110320 is 230114110411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140114110321) 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, 2044792 + ... + 2541928.

It is an arithmetic number, because the mean of its divisors is an integer number (33565763484).

Almost surely, 2^{1140114110320} is an apocalyptic number.

1140114110320 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 1140114110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342630539360).

1140114110320 is an abundant number, since it is smaller than the sum of its proper divisors (1545146968400).

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

1140114110320 is a wasteful number, since it uses less digits than its factorization.

1140114110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497522 (or 497516 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 1140114110320 its reverse (230114110411), we get a palindrome (1370228220731).

Subtracting from 1140114110320 its reverse (230114110411), we obtain a palindrome (909999999909).

The spelling of 1140114110320 in words is "one trillion, one hundred forty billion, one hundred fourteen million, one hundred ten thousand, three hundred twenty".