14042833951104 has 1536 divisors, whose sum is σ = 50718392524800. Its totient is φ = 3783838924800.

The previous prime is 14042833951087. The next prime is 14042833951127. The reversal of 14042833951104 is 40115933824041.

14042833951104 is a `hidden beast` number, since 1 + 4 + 0 + 428 + 33 + 95 + 1 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14042833951104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58269020424 + ... + 58269020664.

It is an arithmetic number, because the mean of its divisors is an integer number (33019786800).

Almost surely, 2^{14042833951104} is an apocalyptic number.

14042833951104 is a gapful number since it is divisible by the number (14) 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 14042833951104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25359196262400).

14042833951104 is an abundant number, since it is smaller than the sum of its proper divisors (36675558573696).

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

14042833951104 is an equidigital number, since it uses as much as digits as its factorization.

14042833951104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 14042833951104 in words is "fourteen trillion, forty-two billion, eight hundred thirty-three million, nine hundred fifty-one thousand, one hundred four".