13324241842400 has 72 divisors (see below), whose sum is σ = 32528603129904. Its totient is φ = 5329566028800.

The previous prime is 13324241842363. The next prime is 13324241842409. The reversal of 13324241842400 is 424814242331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13324241842409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36573140 + ... + 36935660.

It is an arithmetic number, because the mean of its divisors is an integer number (451786154582).

Almost surely, 2^{13324241842400} is an apocalyptic number.

13324241842400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13324241842400 is an abundant number, since it is smaller than the sum of its proper divisors (19204361287504).

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

13324241842400 is a wasteful number, since it uses less digits than its factorization.

13324241842400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408484 (or 408471 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 13324241842400 in words is "thirteen trillion, three hundred twenty-four billion, two hundred forty-one million, eight hundred forty-two thousand, four hundred".