1140224320 has 56 divisors (see below), whose sum is σ = 2808808200. Its totient is φ = 440358912.

The previous prime is 1140224311. The next prime is 1140224329. The reversal of 1140224320 is 234220411.

It is an interprime number because it is at equal distance from previous prime (1140224311) and next prime (1140224329).

It can be written as a sum of positive squares in 4 ways, for example, as 310323456 + 829900864 = 17616^2 + 28808^2 .

It is a super-2 number, since 2×1140224320² = 2600222999838924800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140224329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52155 + ... + 70714.

Almost surely, 2^1140224320 is an apocalyptic number.

1140224320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140224320 is an abundant number, since it is smaller than the sum of its proper divisors (1668583880).

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

1140224320 is a wasteful number, since it uses less digits than its factorization.

1140224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122915 (or 122905 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1140224320 is about 33767.2077613770. The cubic root of 1140224320 is about 1044.7124411958.

Adding to 1140224320 its reverse (234220411), we get a palindrome (1374444731).

The spelling of 1140224320 in words is "one billion, one hundred forty million, two hundred twenty-four thousand, three hundred twenty".