10800509440 has 240 divisors, whose sum is σ = 31173060600. Its totient is φ = 3574136832.

The previous prime is 10800509417. The next prime is 10800509443. The reversal of 10800509440 is 4490500801.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5186304256 + 5614205184 = 72016^2 + 74928^2 .

It is a super-2 number, since 2×10800509440² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10800509443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3636276 + ... + 3639244.

Almost surely, 2^10800509440 is an apocalyptic number.

10800509440 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 10800509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15586530300).

10800509440 is an abundant number, since it is smaller than the sum of its proper divisors (20372551160).

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

10800509440 is an equidigital number, since it uses as much as digits as its factorization.

10800509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 10800509440 in words is "ten billion, eight hundred million, five hundred nine thousand, four hundred forty".