1432443231144 has 96 divisors (see below), whose sum is σ = 3989991882240. Its totient is φ = 463979040000.

The previous prime is 1432443231137. The next prime is 1432443231161. The reversal of 1432443231144 is 4411323442341.

1432443231144 is a `hidden beast` number, since 1 + 4 + 324 + 4 + 323 + 1 + 1 + 4 + 4 = 666.

It is a super-3 number, since 3×1432443231144³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 junction number, because it is equal to n+sod(n) for n = 1432443231099 and 1432443231108.

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 23 ways as a sum of consecutive naturals, for example, 225672 + ... + 1707575.

It is an arithmetic number, because the mean of its divisors is an integer number (41562415440).

Almost surely, 2^{1432443231144} 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 1432443231144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994995941120).

1432443231144 is an abundant number, since it is smaller than the sum of its proper divisors (2557548651096).

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

1432443231144 is a wasteful number, since it uses less digits than its factorization.

1432443231144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933551 (or 1933544 counting only the distinct ones).

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

Adding to 1432443231144 its reverse (4411323442341), we get a palindrome (5843766673485).

The spelling of 1432443231144 in words is "one trillion, four hundred thirty-two billion, four hundred forty-three million, two hundred thirty-one thousand, one hundred forty-four".