1116035366400 has 1200 divisors, whose sum is σ = 4565311131744. Its totient is φ = 267827281920.

The previous prime is 1116035366389. The next prime is 1116035366429. The reversal of 1116035366400 is 46635306111.

1116035366400 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 0 + 3 + 5 + 3 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 405387424 + ... + 405390176.

Almost surely, 2^{1116035366400} is an apocalyptic number.

1116035366400 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 1116035366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282655565872).

1116035366400 is an abundant number, since it is smaller than the sum of its proper divisors (3449275765344).

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

1116035366400 is a wasteful number, since it uses less digits than its factorization.

1116035366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1116035366400 in words is "one trillion, one hundred sixteen billion, thirty-five million, three hundred sixty-six thousand, four hundred".