1324410314144 has 24 divisors (see below), whose sum is σ = 2616845938308. Its totient is φ = 659814520320.

The previous prime is 1324410314111. The next prime is 1324410314147. The reversal of 1324410314144 is 4414130144231.

It can be written as a sum of positive squares in 2 ways, for example, as 1316021952400 + 8388361744 = 1147180^2 + 91588^2 .

It is a super-2 number, since 2×1324410314144² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1324410314144.

It is not an unprimeable number, because it can be changed into a prime (1324410314147) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 74698397 + ... + 74716124.

Almost surely, 2^{1324410314144} is an apocalyptic number.

It is an amenable number.

1324410314144 is a deficient number, since it is larger than the sum of its proper divisors (1292435624164).

1324410314144 is a wasteful number, since it uses less digits than its factorization.

1324410314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149414808 (or 149414800 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 1324410314144 its reverse (4414130144231), we get a palindrome (5738540458375).

The spelling of 1324410314144 in words is "one trillion, three hundred twenty-four billion, four hundred ten million, three hundred fourteen thousand, one hundred forty-four".