1324144342224 has 240 divisors, whose sum is σ = 4077123583104. Its totient is φ = 397849190400.

The previous prime is 1324144342211. The next prime is 1324144342231. The reversal of 1324144342224 is 4222434414231.

1324144342224 is a `hidden beast` number, since 13 + 2 + 41 + 44 + 342 + 224 = 666.

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 47 ways as a sum of consecutive naturals, for example, 88938909 + ... + 88953795.

Almost surely, 2^{1324144342224} 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 1324144342224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038561791552).

1324144342224 is an abundant number, since it is smaller than the sum of its proper divisors (2752979240880).

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

1324144342224 is a wasteful number, since it uses less digits than its factorization.

1324144342224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15386 (or 15377 counting only the distinct ones).

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

Adding to 1324144342224 its reverse (4222434414231), we get a palindrome (5546578756455).

The spelling of 1324144342224 in words is "one trillion, three hundred twenty-four billion, one hundred forty-four million, three hundred forty-two thousand, two hundred twenty-four".