1140042514320 has 240 divisors, whose sum is σ = 4062822641280. Its totient is φ = 285864505344.

The previous prime is 1140042514313. The next prime is 1140042514327. The reversal of 1140042514320 is 234152400411.

1140042514320 is a `hidden beast` number, since 1 + 1 + 400 + 4 + 251 + 4 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1140042514313) and next prime (1140042514327).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (1140042514327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393624 + ... + 1560456.

It is an arithmetic number, because the mean of its divisors is an integer number (16928427672).

Almost surely, 2^{1140042514320} is an apocalyptic number.

1140042514320 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 1140042514320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031411320640).

1140042514320 is an abundant number, since it is smaller than the sum of its proper divisors (2922780126960).

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

1140042514320 is a wasteful number, since it uses less digits than its factorization.

1140042514320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166934 (or 1166925 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1140042514320 its reverse (234152400411), we get a palindrome (1374194914731).

The spelling of 1140042514320 in words is "one trillion, one hundred forty billion, forty-two million, five hundred fourteen thousand, three hundred twenty".