1140485760 has 192 divisors, whose sum is σ = 3956121000. Its totient is φ = 302751744.

The previous prime is 1140485741. The next prime is 1140485761. The reversal of 1140485760 is 675840411.

It is a happy number.

1140485760 is a `hidden beast` number, since 1 + 1 + 40 + 48 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 939299904 + 201185856 = 30648^2 + 14184^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1140485761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2240386 + ... + 2240894.

Almost surely, 2^1140485760 is an apocalyptic number.

1140485760 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 1140485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978060500).

1140485760 is an abundant number, since it is smaller than the sum of its proper divisors (2815635240).

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

1140485760 is a wasteful number, since it uses less digits than its factorization.

1140485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1140485760 is about 33771.0787509076. The cubic root of 1140485760 is about 1044.7922818445.

The spelling of 1140485760 in words is "one billion, one hundred forty million, four hundred eighty-five thousand, seven hundred sixty".