1140061440 has 432 divisors, whose sum is σ = 4345282368. Its totient is φ = 253919232.

The previous prime is 1140061397. The next prime is 1140061441. The reversal of 1140061440 is 441600411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140061441) 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, 13735639 + ... + 13735721.

It is an arithmetic number, because the mean of its divisors is an integer number (10058524).

Almost surely, 2^1140061440 is an apocalyptic number.

1140061440 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 1140061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172641184).

1140061440 is an abundant number, since it is smaller than the sum of its proper divisors (3205220928).

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

1140061440 is an equidigital number, since it uses as much as digits as its factorization.

1140061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1140061440 is about 33764.7958678858. The cubic root of 1140061440 is about 1044.6626934217.

Adding to 1140061440 its reverse (441600411), we get a palindrome (1581661851).

The spelling of 1140061440 in words is "one billion, one hundred forty million, sixty-one thousand, four hundred forty".