1100004224800 has 288 divisors, whose sum is σ = 3114980003520. Its totient is φ = 375827558400.

The previous prime is 1100004224791. The next prime is 1100004224849. The reversal of 1100004224800 is 84224000011.

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, 8432070 + ... + 8561530.

It is an arithmetic number, because the mean of its divisors is an integer number (10815902790).

Almost surely, 2^{1100004224800} is an apocalyptic number.

1100004224800 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 1100004224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557490001760).

1100004224800 is an abundant number, since it is smaller than the sum of its proper divisors (2014975778720).

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

1100004224800 is a wasteful number, since it uses less digits than its factorization.

1100004224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129556 (or 129543 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 1100004224800 its reverse (84224000011), we get a palindrome (1184228224811).

The spelling of 1100004224800 in words is "one trillion, one hundred billion, four million, two hundred twenty-four thousand, eight hundred".