112089277440 has 440 divisors, whose sum is σ = 459057141312. Its totient is φ = 25619742720.

The previous prime is 112089277423. The next prime is 112089277451. The reversal of 112089277440 is 44772980211.

112089277440 is a `hidden beast` number, since 1 + 120 + 89 + 2 + 7 + 7 + 440 = 666.

It is a super-2 number, since 2×112089277440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2883735 + ... + 2922345.

Almost surely, 2^112089277440 is an apocalyptic number.

112089277440 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 112089277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229528570656).

112089277440 is an abundant number, since it is smaller than the sum of its proper divisors (346967863872).

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

112089277440 is an equidigital number, since it uses as much as digits as its factorization.

112089277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38655 (or 38628 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 112089277440 in words is "one hundred twelve billion, eighty-nine million, two hundred seventy-seven thousand, four hundred forty".