1140101140 has 96 divisors (see below), whose sum is σ = 2520967680. Its totient is φ = 432746496.

The previous prime is 1140101117. The next prime is 1140101143. The reversal of 1140101140 is 411010411.

It is a self number, because there is not a number n which added to its sum of digits gives 1140101140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140101143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6590094 + ... + 6590266.

It is an arithmetic number, because the mean of its divisors is an integer number (26260080).

Almost surely, 2^1140101140 is an apocalyptic number.

1140101140 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 1140101140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260483840).

1140101140 is an abundant number, since it is smaller than the sum of its proper divisors (1380866540).

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

1140101140 is a wasteful number, since it uses less digits than its factorization.

1140101140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 1140101140 is about 33765.3837531872. The cubic root of 1140101140 is about 1044.6748192675.

Adding to 1140101140 its reverse (411010411), we get a palindrome (1551111551).

The spelling of 1140101140 in words is "one billion, one hundred forty million, one hundred one thousand, one hundred forty".