1100323330400 has 576 divisors, whose sum is σ = 3315603787776. Its totient is φ = 348395520000.

The previous prime is 1100323330397. The next prime is 1100323330451. The reversal of 1100323330400 is 40333230011.

It is a super-2 number, since 2×1100323330400² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 533359769 + ... + 533361831.

It is an arithmetic number, because the mean of its divisors is an integer number (5756256576).

Almost surely, 2^{1100323330400} is an apocalyptic number.

1100323330400 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 1100323330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657801893888).

1100323330400 is an abundant number, since it is smaller than the sum of its proper divisors (2215280457376).

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

1100323330400 is a wasteful number, since it uses less digits than its factorization.

1100323330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1100323330400 its reverse (40333230011), we get a palindrome (1140656560411).

The spelling of 1100323330400 in words is "one trillion, one hundred billion, three hundred twenty-three million, three hundred thirty thousand, four hundred".