111404442500400 has 960 divisors, whose sum is σ = 424539403739136. Its totient is φ = 24444134400000.

The previous prime is 111404442500347. The next prime is 111404442500401. The reversal of 111404442500400 is 4005244404111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (111404442500401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7174877437 + ... + 7174892963.

Almost surely, 2^{111404442500400} is an apocalyptic number.

111404442500400 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 111404442500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212269701869568).

111404442500400 is an abundant number, since it is smaller than the sum of its proper divisors (313134961238736).

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

111404442500400 is a wasteful number, since it uses less digits than its factorization.

111404442500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15930 (or 15919 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 111404442500400 its reverse (4005244404111), we get a palindrome (115409686904511).

The spelling of 111404442500400 in words is "one hundred eleven trillion, four hundred four billion, four hundred forty-two million, five hundred thousand, four hundred".