11440334400 has 336 divisors, whose sum is σ = 41124957120. Its totient is φ = 2761318400.

The previous prime is 11440334377. The next prime is 11440334419. The reversal of 11440334400 is 443304411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20538922 + ... + 20539478.

Almost surely, 2^11440334400 is an apocalyptic number.

11440334400 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 11440334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20562478560).

11440334400 is an abundant number, since it is smaller than the sum of its proper divisors (29684622720).

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

11440334400 is a wasteful number, since it uses less digits than its factorization.

11440334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11440334400 its reverse (443304411), we get a palindrome (11883638811).

The spelling of 11440334400 in words is "eleven billion, four hundred forty million, three hundred thirty-four thousand, four hundred".