112301432423440 has 320 divisors, whose sum is σ = 284401152161280. Its totient is φ = 40994176204800.

The previous prime is 112301432423417. The next prime is 112301432423461. The reversal of 112301432423440 is 44324234103211.

It is a super-2 number, since 2×112301432423440² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112301432423396 and 112301432423405.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28743645967 + ... + 28743649873.

It is an arithmetic number, because the mean of its divisors is an integer number (888753600504).

Almost surely, 2^{112301432423440} is an apocalyptic number.

112301432423440 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 112301432423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142200576080640).

112301432423440 is an abundant number, since it is smaller than the sum of its proper divisors (172099719737840).

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

112301432423440 is a wasteful number, since it uses less digits than its factorization.

112301432423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 112301432423440 its reverse (44324234103211), we get a palindrome (156625666526651).

The spelling of 112301432423440 in words is "one hundred twelve trillion, three hundred one billion, four hundred thirty-two million, four hundred twenty-three thousand, four hundred forty".