112072430440 has 64 divisors (see below), whose sum is σ = 256042195200. Its totient is φ = 44142388992.

The previous prime is 112072430389. The next prime is 112072430513. The reversal of 112072430440 is 44034270211.

It is a junction number, because it is equal to n+sod(n) for n = 112072430399 and 112072430408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131139 + ... + 1226221.

It is an arithmetic number, because the mean of its divisors is an integer number (4000659300).

Almost surely, 2^112072430440 is an apocalyptic number.

112072430440 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 112072430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128021097600).

112072430440 is an abundant number, since it is smaller than the sum of its proper divisors (143969764760).

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

112072430440 is a wasteful number, since it uses less digits than its factorization.

112072430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95546 (or 95542 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 112072430440 in words is "one hundred twelve billion, seventy-two million, four hundred thirty thousand, four hundred forty".