1102284086400 has 864 divisors, whose sum is σ = 4590581608080. Its totient is φ = 251112960000.

The previous prime is 1102284086389. The next prime is 1102284086417. The reversal of 1102284086400 is 46804822011.

1102284086400 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 2 + 8 + 4 + 0 + 8 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 489685275 + ... + 489687525.

Almost surely, 2^{1102284086400} is an apocalyptic number.

1102284086400 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 1102284086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295290804040).

1102284086400 is an abundant number, since it is smaller than the sum of its proper divisors (3488297521680).

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

1102284086400 is a wasteful number, since it uses less digits than its factorization.

1102284086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 1102284086400 in words is "one trillion, one hundred two billion, two hundred eighty-four million, eighty-six thousand, four hundred".