1134104400 has 360 divisors, whose sum is σ = 4625808096. Its totient is φ = 253670400.

The previous prime is 1134104381. The next prime is 1134104519. The reversal of 1134104400 is 44014311.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 513699 + ... + 515901.

Almost surely, 2^1134104400 is an apocalyptic number.

1134104400 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 1134104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312904048).

1134104400 is an abundant number, since it is smaller than the sum of its proper divisors (3491703696).

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

1134104400 is a wasteful number, since it uses less digits than its factorization.

1134104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1134104400 is about 33676.4665604930. The cubic root of 1134104400 is about 1042.8399939991.

Adding to 1134104400 its reverse (44014311), we get a palindrome (1178118711).

The spelling of 1134104400 in words is "one billion, one hundred thirty-four million, one hundred four thousand, four hundred".