1140215200 has 72 divisors (see below), whose sum is σ = 2808406188. Its totient is φ = 452014080.

The previous prime is 1140215191. The next prime is 1140215201. The reversal of 1140215200 is 25120411.

It can be written as a sum of positive squares in 6 ways, for example, as 86044176 + 1054171024 = 9276^2 + 32468^2 .

It is a super-2 number, since 2×1140215200² = 2600181404622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1140215201) 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, 84094 + ... + 96706.

Almost surely, 2^1140215200 is an apocalyptic number.

1140215200 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 1140215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404203094).

1140215200 is an abundant number, since it is smaller than the sum of its proper divisors (1668190988).

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

1140215200 is a wasteful number, since it uses less digits than its factorization.

1140215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12746 (or 12733 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1140215200 is about 33767.0727188485. The cubic root of 1140215200 is about 1044.7096558366.

Adding to 1140215200 its reverse (25120411), we get a palindrome (1165335611).

The spelling of 1140215200 in words is "one billion, one hundred forty million, two hundred fifteen thousand, two hundred".