1110141030400 has 156 divisors (see below), whose sum is σ = 2772942249132. Its totient is φ = 440809553920.

The previous prime is 1110141030343. The next prime is 1110141030433. The reversal of 1110141030400 is 40301410111.

It can be written as a sum of positive squares in 6 ways, for example, as 22008315904 + 1088132714496 = 148352^2 + 1043136^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13989234 + ... + 14068366.

Almost surely, 2^{1110141030400} is an apocalyptic number.

1110141030400 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 1110141030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386471124566).

1110141030400 is an abundant number, since it is smaller than the sum of its proper divisors (1662801218732).

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

1110141030400 is an equidigital number, since it uses as much as digits as its factorization.

1110141030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79304 (or 79277 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1110141030400 its reverse (40301410111), we get a palindrome (1150442440511).

The spelling of 1110141030400 in words is "one trillion, one hundred ten billion, one hundred forty-one million, thirty thousand, four hundred".