13412001440000 has 90 divisors (see below), whose sum is σ = 33453807065910. Its totient is φ = 5364800512000.

The previous prime is 13412001439999. The next prime is 13412001440003. The reversal of 13412001440000 is 4410021431.

It can be written as a sum of positive squares in 5 ways, for example, as 1948413972736 + 11463587467264 = 1395856^2 + 3385792^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13412001440003) 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 9 ways as a sum of consecutive naturals, for example, 41752505 + ... + 42072504.

It is an arithmetic number, because the mean of its divisors is an integer number (371708967399).

Almost surely, 2^{13412001440000} is an apocalyptic number.

13412001440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13412001440000 is an abundant number, since it is smaller than the sum of its proper divisors (20041805625910).

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

13412001440000 is an frugal number, since it uses more digits than its factorization.

13412001440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83825045 (or 83825016 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13412001440000 its reverse (4410021431), we get a palindrome (13416411461431).

The spelling of 13412001440000 in words is "thirteen trillion, four hundred twelve billion, one million, four hundred forty thousand".