1100322304400 has 240 divisors, whose sum is σ = 2953650382848. Its totient is φ = 390449472000.

The previous prime is 1100322304369. The next prime is 1100322304483. The reversal of 1100322304400 is 44032230011.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 281338445 + ... + 281342355.

Almost surely, 2^{1100322304400} is an apocalyptic number.

1100322304400 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 1100322304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476825191424).

1100322304400 is an abundant number, since it is smaller than the sum of its proper divisors (1853328078448).

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

1100322304400 is a wasteful number, since it uses less digits than its factorization.

1100322304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1100322304400 its reverse (44032230011), we get a palindrome (1144354534411).

The spelling of 1100322304400 in words is "one trillion, one hundred billion, three hundred twenty-two million, three hundred four thousand, four hundred".