10775431240 has 288 divisors, whose sum is σ = 30263942520. Its totient is φ = 3441844224.

The previous prime is 10775431217. The next prime is 10775431291. The reversal of 10775431240 is 4213457701.

It can be written as a sum of positive squares in 4 ways, for example, as 7381902724 + 3393528516 = 85918^2 + 58254^2 .

It is a super-2 number, since 2×10775431240² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10775431196 and 10775431205.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68633242 + ... + 68633398.

Almost surely, 2^10775431240 is an apocalyptic number.

10775431240 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 10775431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15131971260).

10775431240 is an abundant number, since it is smaller than the sum of its proper divisors (19488511280).

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

10775431240 is a wasteful number, since it uses less digits than its factorization.

10775431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

Adding to 10775431240 its reverse (4213457701), we get a palindrome (14988888941).

The spelling of 10775431240 in words is "ten billion, seven hundred seventy-five million, four hundred thirty-one thousand, two hundred forty".