1144443434004 has 120 divisors (see below), whose sum is σ = 3227901706568. Its totient is φ = 351484842240.

The previous prime is 1144443433997. The next prime is 1144443434023. The reversal of 1144443434004 is 4004343444411.

It can be written as a sum of positive squares in 4 ways, for example, as 56573573904 + 1087869860100 = 237852^2 + 1043010^2 .

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 1144443434004.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2027574 + ... + 2529810.

Almost surely, 2^{1144443434004} 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 1144443434004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613950853284).

1144443434004 is an abundant number, since it is smaller than the sum of its proper divisors (2083458272564).

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

1144443434004 is a wasteful number, since it uses less digits than its factorization.

1144443434004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502807 (or 502796 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 1144443434004 its reverse (4004343444411), we get a palindrome (5148786878415).

The spelling of 1144443434004 in words is "one trillion, one hundred forty-four billion, four hundred forty-three million, four hundred thirty-four thousand, four".