13434001440144 has 160 divisors (see below), whose sum is σ = 39055480289280. Its totient is φ = 3954003019776.

The previous prime is 13434001440137. The next prime is 13434001440187. The reversal of 13434001440144 is 44104410043431.

13434001440144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2609332 + ... + 5803155.

It is an arithmetic number, because the mean of its divisors is an integer number (244096751808).

Almost surely, 2^{13434001440144} is an apocalyptic number.

It is an amenable number.

13434001440144 is an abundant number, since it is smaller than the sum of its proper divisors (25621478849136).

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

13434001440144 is a wasteful number, since it uses less digits than its factorization.

13434001440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8412637 (or 8412631 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 13434001440144 its reverse (44104410043431), we get a palindrome (57538411483575).

The spelling of 13434001440144 in words is "thirteen trillion, four hundred thirty-four billion, one million, four hundred forty thousand, one hundred forty-four".