1112408064000 has 1008 divisors, whose sum is σ = 4287046405824. Its totient is φ = 276824064000.

The previous prime is 1112408063989. The next prime is 1112408064013. The reversal of 1112408064000 is 4608042111.

It is a happy number.

1112408064000 is a `hidden beast` number, since 1 + 1 + 12 + 4 + 0 + 8 + 0 + 640 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27131903980 + ... + 27131904020.

It is an arithmetic number, because the mean of its divisors is an integer number (4253022228).

Almost surely, 2^{1112408064000} is an apocalyptic number.

1112408064000 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 1112408064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143523202912).

1112408064000 is an abundant number, since it is smaller than the sum of its proper divisors (3174638341824).

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

1112408064000 is an frugal number, since it uses more digits than its factorization.

1112408064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 1112408064000 in words is "one trillion, one hundred twelve billion, four hundred eight million, sixty-four thousand".