11304444400 has 60 divisors (see below), whose sum is σ = 27241297864. Its totient is φ = 4508064000.

The previous prime is 11304444397. The next prime is 11304444449. The reversal of 11304444400 is 444440311.

It is a happy number.

It is a super-3 number, since 3×11304444400³ (a number of 31 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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89710 + ... + 175090.

Almost surely, 2^11304444400 is an apocalyptic number.

11304444400 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 11304444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13620648932).

11304444400 is an abundant number, since it is smaller than the sum of its proper divisors (15936853464).

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

11304444400 is a wasteful number, since it uses less digits than its factorization.

11304444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85730 (or 85719 counting only the distinct ones).

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

Adding to 11304444400 its reverse (444440311), we get a palindrome (11748884711).

The spelling of 11304444400 in words is "eleven billion, three hundred four million, four hundred forty-four thousand, four hundred".