1100312110400 has 84 divisors (see below), whose sum is σ = 2708835511452. Its totient is φ = 439900508160.

The previous prime is 1100312110399. The next prime is 1100312110409. The reversal of 1100312110400 is 40112130011.

It can be written as a sum of positive squares in 6 ways, for example, as 95726656 + 1100216383744 = 9784^2 + 1048912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100312110409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2982524 + ... + 3331076.

It is an arithmetic number, because the mean of its divisors is an integer number (32248041803).

Almost surely, 2^{1100312110400} is an apocalyptic number.

1100312110400 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 1100312110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354417755726).

1100312110400 is an abundant number, since it is smaller than the sum of its proper divisors (1608523401052).

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

1100312110400 is a wasteful number, since it uses less digits than its factorization.

1100312110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350548 (or 350533 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1100312110400 its reverse (40112130011), we get a palindrome (1140424240411).

The spelling of 1100312110400 in words is "one trillion, one hundred billion, three hundred twelve million, one hundred ten thousand, four hundred".