1011140320 has 48 divisors (see below), whose sum is σ = 2398001760. Its totient is φ = 402901504.

The previous prime is 1011140287. The next prime is 1011140357. The reversal of 1011140320 is 230411101.

It is a super-3 number, since 3×1011140320³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1011140320.

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 7 ways as a sum of consecutive naturals, for example, 30066 + ... + 54094.

It is an arithmetic number, because the mean of its divisors is an integer number (49958370).

Almost surely, 2^1011140320 is an apocalyptic number.

1011140320 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 1011140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199000880).

1011140320 is an abundant number, since it is smaller than the sum of its proper divisors (1386861440).

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

1011140320 is a wasteful number, since it uses less digits than its factorization.

1011140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24307 (or 24299 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1011140320 is about 31798.4326657777. The cubic root of 1011140320 is about 1003.6997350796.

Adding to 1011140320 its reverse (230411101), we get a palindrome (1241551421).

The spelling of 1011140320 in words is "one billion, eleven million, one hundred forty thousand, three hundred twenty".