14042834610000 has 800 divisors, whose sum is σ = 52432984074240. Its totient is φ = 3171327744000.

The previous prime is 14042834609879. The next prime is 14042834610001. The reversal of 14042834610000 is 1643824041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042834610001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6277528882 + ... + 6277531118.

Almost surely, 2^{14042834610000} is an apocalyptic number.

14042834610000 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 14042834610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26216492037120).

14042834610000 is an abundant number, since it is smaller than the sum of its proper divisors (38390149464240).

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

14042834610000 is a wasteful number, since it uses less digits than its factorization.

14042834610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 14042834610000 in words is "fourteen trillion, forty-two billion, eight hundred thirty-four million, six hundred ten thousand".