11271320040 has 128 divisors (see below), whose sum is σ = 34616885760. Its totient is φ = 2934626304.

The previous prime is 11271320009. The next prime is 11271320069. The reversal of 11271320040 is 4002317211.

It is a junction number, because it is equal to n+sod(n) for n = 11271319989 and 11271320016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2575294 + ... + 2579666.

It is an arithmetic number, because the mean of its divisors is an integer number (270444420).

Almost surely, 2^11271320040 is an apocalyptic number.

11271320040 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 11271320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17308442880).

11271320040 is an abundant number, since it is smaller than the sum of its proper divisors (23345565720).

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

11271320040 is a wasteful number, since it uses less digits than its factorization.

11271320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4891 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 11271320040 its reverse (4002317211), we get a palindrome (15273637251).

The spelling of 11271320040 in words is "eleven billion, two hundred seventy-one million, three hundred twenty thousand, forty".