1134102042304 has 448 divisors, whose sum is σ = 3060831836160. Its totient is φ = 403752222720.

The previous prime is 1134102042301. The next prime is 1134102042317. The reversal of 1134102042304 is 4032402014311.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (1134102042301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318834894 + ... + 318838450.

It is an arithmetic number, because the mean of its divisors is an integer number (6832213920).

Almost surely, 2^{1134102042304} is an apocalyptic number.

1134102042304 is a gapful number since it is divisible by the number (14) 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 1134102042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530415918080).

1134102042304 is an abundant number, since it is smaller than the sum of its proper divisors (1926729793856).

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

1134102042304 is a wasteful number, since it uses less digits than its factorization.

1134102042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1134102042304 its reverse (4032402014311), we get a palindrome (5166504056615).

The spelling of 1134102042304 in words is "one trillion, one hundred thirty-four billion, one hundred two million, forty-two thousand, three hundred four".