1134444144024 has 384 divisors, whose sum is σ = 3387559968000. Its totient is φ = 341596569600.

The previous prime is 1134444143999. The next prime is 1134444144037. The reversal of 1134444144024 is 4204414444311.

1134444144024 is a `hidden beast` number, since 1 + 134 + 44 + 41 + 440 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1134444144024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 524961504 + ... + 524963664.

It is an arithmetic number, because the mean of its divisors is an integer number (8821770750).

Almost surely, 2^{1134444144024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134444144024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693779984000).

1134444144024 is an abundant number, since it is smaller than the sum of its proper divisors (2253115823976).

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

1134444144024 is a wasteful number, since it uses less digits than its factorization.

1134444144024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 1134444144024 its reverse (4204414444311), we get a palindrome (5338858588335).

The spelling of 1134444144024 in words is "one trillion, one hundred thirty-four billion, four hundred forty-four million, one hundred forty-four thousand, twenty-four".