1110113404400 has 1440 divisors, whose sum is σ = 3815886767616. Its totient is φ = 304819200000.

The previous prime is 1110113404399. The next prime is 1110113404441. The reversal of 1110113404400 is 44043110111.

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 287 ways as a sum of consecutive naturals, for example, 7351744325 + ... + 7351744475.

Almost surely, 2^{1110113404400} is an apocalyptic number.

1110113404400 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 1110113404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907943383808).

1110113404400 is an abundant number, since it is smaller than the sum of its proper divisors (2705773363216).

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

1110113404400 is a wasteful number, since it uses less digits than its factorization.

1110113404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1110113404400 its reverse (44043110111), we get a palindrome (1154156514511).

The spelling of 1110113404400 in words is "one trillion, one hundred ten billion, one hundred thirteen million, four hundred four thousand, four hundred".