111411111134400 has 1008 divisors, whose sum is σ = 466209331264512. Its totient is φ = 23032740864000.

The previous prime is 111411111134359. The next prime is 111411111134423. The reversal of 111411111134400 is 4431111114111.

111411111134400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 509569105 + ... + 509787695.

Almost surely, 2^{111411111134400} is an apocalyptic number.

111411111134400 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 111411111134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233104665632256).

111411111134400 is an abundant number, since it is smaller than the sum of its proper divisors (354798220130112).

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

111411111134400 is a wasteful number, since it uses less digits than its factorization.

111411111134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218838 (or 218816 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 24.

Adding to 111411111134400 its reverse (4431111114111), we get a palindrome (115842222248511).

The spelling of 111411111134400 in words is "one hundred eleven trillion, four hundred eleven billion, one hundred eleven million, one hundred thirty-four thousand, four hundred".