112404041344 has 256 divisors, whose sum is σ = 292223635200. Its totient is φ = 41901096960.

The previous prime is 112404041297. The next prime is 112404041369. The reversal of 112404041344 is 443140404211.

It is a super-2 number, since 2×112404041344² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11860992 + ... + 11870464.

It is an arithmetic number, because the mean of its divisors is an integer number (1141498575).

Almost surely, 2^112404041344 is an apocalyptic number.

112404041344 is a gapful number since it is divisible by the number (14) 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 112404041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146111817600).

112404041344 is an abundant number, since it is smaller than the sum of its proper divisors (179819593856).

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

112404041344 is a wasteful number, since it uses less digits than its factorization.

112404041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9571 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 112404041344 its reverse (443140404211), we get a palindrome (555544445555).

The spelling of 112404041344 in words is "one hundred twelve billion, four hundred four million, forty-one thousand, three hundred forty-four".