14434010414004 has 96 divisors (see below), whose sum is σ = 34265280172032. Its totient is φ = 4728099376000.

The previous prime is 14434010413997. The next prime is 14434010414059. The reversal of 14434010414004 is 40041401043441.

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 31 ways as a sum of consecutive naturals, for example, 362452414 + ... + 362492234.

It is an arithmetic number, because the mean of its divisors is an integer number (356930001792).

Almost surely, 2^{14434010414004} is an apocalyptic number.

It is an amenable number.

14434010414004 is an abundant number, since it is smaller than the sum of its proper divisors (19831269758028).

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

14434010414004 is a wasteful number, since it uses less digits than its factorization.

14434010414004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41277 (or 41275 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 14434010414004 its reverse (40041401043441), we get a palindrome (54475411457445).

The spelling of 14434010414004 in words is "fourteen trillion, four hundred thirty-four billion, ten million, four hundred fourteen thousand, four".