1144034034000 has 640 divisors, whose sum is σ = 4367720448000. Its totient is φ = 253967616000.

The previous prime is 1144034033971. The next prime is 1144034034007. The reversal of 1144034034000 is 4304304411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144034034007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108960751 + ... + 108971249.

It is an arithmetic number, because the mean of its divisors is an integer number (6824563200).

Almost surely, 2^{1144034034000} is an apocalyptic number.

1144034034000 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 1144034034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183860224000).

1144034034000 is an abundant number, since it is smaller than the sum of its proper divisors (3223686414000).

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

1144034034000 is a wasteful number, since it uses less digits than its factorization.

1144034034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10676 (or 10660 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1144034034000 its reverse (4304304411), we get a palindrome (1148338338411).

The spelling of 1144034034000 in words is "one trillion, one hundred forty-four billion, thirty-four million, thirty-four thousand".