112504031440 has 80 divisors (see below), whose sum is σ = 271113875280. Its totient is φ = 43365969920.

The previous prime is 112504031429. The next prime is 112504031441. The reversal of 112504031440 is 44130405211.

It can be written as a sum of positive squares in 8 ways, for example, as 14206732864 + 98297298576 = 119192^2 + 313524^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112504031441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1162182 + ... + 1255258.

It is an arithmetic number, because the mean of its divisors is an integer number (3388923441).

Almost surely, 2^112504031440 is an apocalyptic number.

112504031440 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 112504031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135556937640).

112504031440 is an abundant number, since it is smaller than the sum of its proper divisors (158609843840).

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

112504031440 is a wasteful number, since it uses less digits than its factorization.

112504031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93640 (or 93634 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 112504031440 its reverse (44130405211), we get a palindrome (156634436651).

The spelling of 112504031440 in words is "one hundred twelve billion, five hundred four million, thirty-one thousand, four hundred forty".