11304440022400 has 288 divisors, whose sum is σ = 32493832739280. Its totient is φ = 3874726195200.

The previous prime is 11304440022377. The next prime is 11304440022413. The reversal of 11304440022400 is 422004440311.

It is a super-3 number, since 3×11304440022400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 35 ways as a sum of consecutive naturals, for example, 731150670 + ... + 731166130.

Almost surely, 2^{11304440022400} is an apocalyptic number.

11304440022400 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 11304440022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16246916369640).

11304440022400 is an abundant number, since it is smaller than the sum of its proper divisors (21189392716880).

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

11304440022400 is a wasteful number, since it uses less digits than its factorization.

11304440022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20162 (or 20138 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 11304440022400 its reverse (422004440311), we get a palindrome (11726444462711).

The spelling of 11304440022400 in words is "eleven trillion, three hundred four billion, four hundred forty million, twenty-two thousand, four hundred".