111411201440000 has 1440 divisors, whose sum is σ = 362689814108160. Its totient is φ = 33109401600000.

The previous prime is 111411201439991. The next prime is 111411201440051. The reversal of 111411201440000 is 44102114111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 161231839655 + ... + 161231840345.

It is an arithmetic number, because the mean of its divisors is an integer number (251867926464).

Almost surely, 2^{111411201440000} is an apocalyptic number.

111411201440000 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 111411201440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181344907054080).

111411201440000 is an abundant number, since it is smaller than the sum of its proper divisors (251278612668160).

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

111411201440000 is an equidigital number, since it uses as much as digits as its factorization.

111411201440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 111411201440000 its reverse (44102114111), we get a palindrome (111455303554111).

The spelling of 111411201440000 in words is "one hundred eleven trillion, four hundred eleven billion, two hundred one million, four hundred forty thousand".