11314303440 has 240 divisors, whose sum is σ = 38800266624. Its totient is φ = 2725268480.

The previous prime is 11314303433. The next prime is 11314303463. The reversal of 11314303440 is 4430341311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11314303440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4848514 + ... + 4850846.

Almost surely, 2^11314303440 is an apocalyptic number.

11314303440 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 11314303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19400133312).

11314303440 is an abundant number, since it is smaller than the sum of its proper divisors (27485963184).

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

11314303440 is a wasteful number, since it uses less digits than its factorization.

11314303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11314303440 its reverse (4430341311), we get a palindrome (15744644751).

The spelling of 11314303440 in words is "eleven billion, three hundred fourteen million, three hundred three thousand, four hundred forty".