1104116832000 has 2880 divisors, whose sum is σ = 5254633832448. Its totient is φ = 223948800000.

The previous prime is 1104116831981. The next prime is 1104116832017. The reversal of 1104116832000 is 2386114011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2880).

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 319 ways as a sum of consecutive naturals, for example, 7312031925 + ... + 7312032075.

Almost surely, 2^{1104116832000} is an apocalyptic number.

1104116832000 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 1104116832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627316916224).

1104116832000 is an abundant number, since it is smaller than the sum of its proper divisors (4150517000448).

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

1104116832000 is a wasteful number, since it uses less digits than its factorization.

1104116832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 1104116832000 in words is "one trillion, one hundred four billion, one hundred sixteen million, eight hundred thirty-two thousand".