1140204096 has 84 divisors (see below), whose sum is σ = 3347970444. Its totient is φ = 370790400.

The previous prime is 1140204089. The next prime is 1140204097. The reversal of 1140204096 is 6904020411.

It can be written as a sum of positive squares in 2 ways, for example, as 232989696 + 907214400 = 15264^2 + 30120^2 .

It is not an unprimeable number, because it can be changed into a prime (1140204097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525 + ... + 47756.

It is an arithmetic number, because the mean of its divisors is an integer number (39856791).

Almost surely, 2^1140204096 is an apocalyptic number.

1140204096 is a gapful number since it is divisible by the number (16) 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 1140204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673985222).

1140204096 is an abundant number, since it is smaller than the sum of its proper divisors (2207766348).

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

1140204096 is a wasteful number, since it uses less digits than its factorization.

1140204096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48340 (or 48327 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1140204096 is about 33766.9082979179. The cubic root of 1140204096 is about 1044.7062645195.

The spelling of 1140204096 in words is "one billion, one hundred forty million, two hundred four thousand, ninety-six".