1144334432412 has 192 divisors, whose sum is σ = 3036406625280. Its totient is φ = 372605184000.

The previous prime is 1144334432389. The next prime is 1144334432443. The reversal of 1144334432412 is 2142344334411.

1144334432412 is a `hidden beast` number, since 1 + 1 + 44 + 334 + 43 + 241 + 2 = 666.

It is a super-2 number, since 2×1144334432412² (a number of 25 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 952817412 + ... + 952818612.

It is an arithmetic number, because the mean of its divisors is an integer number (15814617840).

Almost surely, 2^{1144334432412} is an apocalyptic number.

1144334432412 is a gapful number since it is divisible by the number (12) 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 1144334432412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518203312640).

1144334432412 is an abundant number, since it is smaller than the sum of its proper divisors (1892072192868).

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

1144334432412 is a wasteful number, since it uses less digits than its factorization.

1144334432412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2321 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 1144334432412 its reverse (2142344334411), we get a palindrome (3286678766823).

The spelling of 1144334432412 in words is "one trillion, one hundred forty-four billion, three hundred thirty-four million, four hundred thirty-two thousand, four hundred twelve".