11224403034400 has 144 divisors (see below), whose sum is σ = 27689543396424. Its totient is φ = 4442595655680.

The previous prime is 11224403034349. The next prime is 11224403034419. The reversal of 11224403034400 is 443030442211.

It can be written as a sum of positive squares in 12 ways, for example, as 2109245000976 + 9115158033424 = 1452324^2 + 3019132^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508501764 + ... + 508523836.

Almost surely, 2^{11224403034400} is an apocalyptic number.

11224403034400 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 11224403034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13844771698212).

11224403034400 is an abundant number, since it is smaller than the sum of its proper divisors (16465140362024).

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

11224403034400 is a wasteful number, since it uses less digits than its factorization.

11224403034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28743 (or 28730 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 11224403034400 its reverse (443030442211), we get a palindrome (11667433476611).

The spelling of 11224403034400 in words is "eleven trillion, two hundred twenty-four billion, four hundred three million, thirty-four thousand, four hundred".