11310040 has 64 divisors (see below), whose sum is σ = 30044160. Its totient is φ = 3749760.

The previous prime is 11310037. The next prime is 11310059. The reversal of 11310040 is 4001311.

It is a happy number.

11310040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11309999 and 11310026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8029 + ... + 9331.

It is an arithmetic number, because the mean of its divisors is an integer number (469440).

Almost surely, 2^11310040 is an apocalyptic number.

11310040 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 11310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15022080).

11310040 is an abundant number, since it is smaller than the sum of its proper divisors (18734120).

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

11310040 is a wasteful number, since it uses less digits than its factorization.

11310040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11310040 is about 3363.0402911651. The cubic root of 11310040 is about 224.4681429591.

Adding to 11310040 its reverse (4001311), we get a palindrome (15311351).

It can be divided in two parts, 113 and 10040, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 11310040 in words is "eleven million, three hundred ten thousand, forty".