1112017766400 has 576 divisors, whose sum is σ = 4135482187200. Its totient is φ = 296508211200.

The previous prime is 1112017766383. The next prime is 1112017766401. The reversal of 1112017766400 is 46677102111.

1112017766400 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 0 + 1 + 7 + 7 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (1112017766401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111969435 + ... + 111979365.

It is an arithmetic number, because the mean of its divisors is an integer number (7179656575).

Almost surely, 2^{1112017766400} is an apocalyptic number.

1112017766400 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 1112017766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067741093600).

1112017766400 is an abundant number, since it is smaller than the sum of its proper divisors (3023464420800).

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

1112017766400 is an frugal number, since it uses more digits than its factorization.

1112017766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9984 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 1112017766400 in words is "one trillion, one hundred twelve billion, seventeen million, seven hundred sixty-six thousand, four hundred".