1140344160 has 96 divisors (see below), whose sum is σ = 3618512352. Its totient is φ = 301854720.

The previous prime is 1140344143. The next prime is 1140344189. The reversal of 1140344160 is 614430411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1140344160³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1140344160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57090 + ... + 74430.

It is an arithmetic number, because the mean of its divisors is an integer number (37692837).

Almost surely, 2^1140344160 is an apocalyptic number.

1140344160 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 1140344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809256176).

1140344160 is an abundant number, since it is smaller than the sum of its proper divisors (2478168192).

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

1140344160 is a wasteful number, since it uses less digits than its factorization.

1140344160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17496 (or 17488 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1140344160 is about 33768.9822174137. The cubic root of 1140344160 is about 1044.7490404131.

Adding to 1140344160 its reverse (614430411), we get a palindrome (1754774571).

The spelling of 1140344160 in words is "one billion, one hundred forty million, three hundred forty-four thousand, one hundred sixty".