11344510040 has 64 divisors (see below), whose sum is σ = 27120614400. Its totient is φ = 4270800384.

The previous prime is 11344510007. The next prime is 11344510043. The reversal of 11344510040 is 4001544311.

11344510040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11344509988 and 11344510015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344510043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167657 + ... + 225383.

It is an arithmetic number, because the mean of its divisors is an integer number (423759600).

Almost surely, 2^11344510040 is an apocalyptic number.

11344510040 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 11344510040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13560307200).

11344510040 is an abundant number, since it is smaller than the sum of its proper divisors (15776104360).

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

11344510040 is an equidigital number, since it uses as much as digits as its factorization.

11344510040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57789 (or 57751 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 11344510040 in words is "eleven billion, three hundred forty-four million, five hundred ten thousand, forty".