1140113002340 has 96 divisors (see below), whose sum is σ = 2668493328480. Its totient is φ = 406269997056.

The previous prime is 1140113002337. The next prime is 1140113002423. The reversal of 1140113002340 is 432003110411.

It can be written as a sum of positive squares in 16 ways, for example, as 237449594944 + 902663407396 = 487288^2 + 950086^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17739704 + ... + 17803856.

It is an arithmetic number, because the mean of its divisors is an integer number (27796805505).

Almost surely, 2^{1140113002340} is an apocalyptic number.

1140113002340 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 1140113002340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334246664240).

1140113002340 is an abundant number, since it is smaller than the sum of its proper divisors (1528380326140).

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

1140113002340 is a wasteful number, since it uses less digits than its factorization.

1140113002340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66561 (or 66559 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1140113002340 its reverse (432003110411), we get a palindrome (1572116112751).

The spelling of 1140113002340 in words is "one trillion, one hundred forty billion, one hundred thirteen million, two thousand, three hundred forty".