112882429440 has 800 divisors, whose sum is σ = 445797047520. Its totient is φ = 27298529280.

The previous prime is 112882429339. The next prime is 112882429507. The reversal of 112882429440 is 44924288211.

112882429440 is a `hidden beast` number, since 1 + 1 + 288 + 242 + 94 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 275995956 + ... + 275996364.

Almost surely, 2^112882429440 is an apocalyptic number.

112882429440 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 112882429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222898523760).

112882429440 is an abundant number, since it is smaller than the sum of its proper divisors (332914618080).

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

112882429440 is an frugal number, since it uses more digits than its factorization.

112882429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 112882429440 in words is "one hundred twelve billion, eight hundred eighty-two million, four hundred twenty-nine thousand, four hundred forty".