11344411040 has 96 divisors (see below), whose sum is σ = 27072072720. Its totient is φ = 4492099584.

The previous prime is 11344411019. The next prime is 11344411051. The reversal of 11344411040 is 4011444311.

It can be written as a sum of positive squares in 8 ways, for example, as 3780282256 + 7564128784 = 61484^2 + 86972^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11344410997 and 11344411015.

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, 14751776 + ... + 14752544.

Almost surely, 2^11344411040 is an apocalyptic number.

11344411040 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 11344411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13536036360).

11344411040 is an abundant number, since it is smaller than the sum of its proper divisors (15727661680).

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

11344411040 is a wasteful number, since it uses less digits than its factorization.

11344411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 11344411040 its reverse (4011444311), we get a palindrome (15355855351).

The spelling of 11344411040 in words is "eleven billion, three hundred forty-four million, four hundred eleven thousand, forty".