1324141134800 has 120 divisors (see below), whose sum is σ = 3475875065472. Its totient is φ = 480753664000.

The previous prime is 1324141134733. The next prime is 1324141134919. The reversal of 1324141134800 is 84311414231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2585657 + ... + 3055143.

Almost surely, 2^{1324141134800} is an apocalyptic number.

1324141134800 is a gapful number since it is divisible by the number (10) 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 1324141134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737937532736).

1324141134800 is an abundant number, since it is smaller than the sum of its proper divisors (2151733930672).

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

1324141134800 is a wasteful number, since it uses less digits than its factorization.

1324141134800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470157 (or 470146 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 1324141134800 in words is "one trillion, three hundred twenty-four billion, one hundred forty-one million, one hundred thirty-four thousand, eight hundred".