112800263440 has 160 divisors (see below), whose sum is σ = 275868343296. Its totient is φ = 42812352000.

The previous prime is 112800263431. The next prime is 112800263447. The reversal of 112800263440 is 44362008211.

It is not an unprimeable number, because it can be changed into a prime (112800263447) by changing a digit.

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, 215679019 + ... + 215679541.

Almost surely, 2^112800263440 is an apocalyptic number.

112800263440 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 112800263440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137934171648).

112800263440 is an abundant number, since it is smaller than the sum of its proper divisors (163068079856).

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

112800263440 is a wasteful number, since it uses less digits than its factorization.

112800263440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 112800263440 in words is "one hundred twelve billion, eight hundred million, two hundred sixty-three thousand, four hundred forty".