112037437440 has 280 divisors, whose sum is σ = 401662338660. Its totient is φ = 29875765248.

The previous prime is 112037437429. The next prime is 112037437489. The reversal of 112037437440 is 44734730211.

112037437440 is a `hidden beast` number, since 1 + 1 + 203 + 7 + 4 + 3 + 7 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110457851904 + 1579585536 = 332352^2 + 39744^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112037437395 and 112037437404.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3300876 + ... + 3334644.

Almost surely, 2^112037437440 is an apocalyptic number.

112037437440 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 112037437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200831169330).

112037437440 is an abundant number, since it is smaller than the sum of its proper divisors (289624901220).

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

112037437440 is an frugal number, since it uses more digits than its factorization.

112037437440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33812 (or 33779 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 112037437440 in words is "one hundred twelve billion, thirty-seven million, four hundred thirty-seven thousand, four hundred forty".