111145440400000 has 768 divisors, whose sum is σ = 289981799664480. Its totient is φ = 42393600000000.

The previous prime is 111145440399991. The next prime is 111145440400109. The reversal of 111145440400000 is 4044541111.

It can be written as a sum of positive squares in 48 ways, for example, as 85053694671936 + 26091745728064 = 9222456^2 + 5108008^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241096399770 + ... + 241096400230.

Almost surely, 2^{111145440400000} is an apocalyptic number.

111145440400000 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 111145440400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144990899832240).

111145440400000 is an abundant number, since it is smaller than the sum of its proper divisors (178836359264480).

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

111145440400000 is an frugal number, since it uses more digits than its factorization.

111145440400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 111145440400000 its reverse (4044541111), we get a palindrome (111149484941111).

The spelling of 111145440400000 in words is "one hundred eleven trillion, one hundred forty-five billion, four hundred forty million, four hundred thousand".