1112216540400 has 720 divisors, whose sum is σ = 4583697291264. Its totient is φ = 253707863040.

The previous prime is 1112216540327. The next prime is 1112216540431. The reversal of 1112216540400 is 40456122111.

1112216540400 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 2 + 1 + 654 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 413001454 + ... + 413004146.

Almost surely, 2^{1112216540400} is an apocalyptic number.

1112216540400 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 1112216540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291848645632).

1112216540400 is an abundant number, since it is smaller than the sum of its proper divisors (3471480750864).

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

1112216540400 is a wasteful number, since it uses less digits than its factorization.

1112216540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 1112216540400 in words is "one trillion, one hundred twelve billion, two hundred sixteen million, five hundred forty thousand, four hundred".