1144411314132 has 144 divisors (see below), whose sum is σ = 3082352495040. Its totient is φ = 328404916224.

The previous prime is 1144411314127. The next prime is 1144411314133. The reversal of 1144411314132 is 2314131144411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1144411314132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144411314133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3084178 + ... + 3435254.

It is an arithmetic number, because the mean of its divisors is an integer number (21405225660).

Almost surely, 2^{1144411314132} is an apocalyptic number.

1144411314132 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 1144411314132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541176247520).

1144411314132 is an abundant number, since it is smaller than the sum of its proper divisors (1937941180908).

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

1144411314132 is a wasteful number, since it uses less digits than its factorization.

1144411314132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351178 (or 351147 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

Adding to 1144411314132 its reverse (2314131144411), we get a palindrome (3458542458543).

The spelling of 1144411314132 in words is "one trillion, one hundred forty-four billion, four hundred eleven million, three hundred fourteen thousand, one hundred thirty-two".