14111045829120 has 640 divisors, whose sum is σ = 48507602457600. Its totient is φ = 3486784684032.

The previous prime is 14111045829109. The next prime is 14111045829151. The reversal of 14111045829120 is 2192854011141.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×14111045829120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4012237602 + ... + 4012241118.

It is an arithmetic number, because the mean of its divisors is an integer number (75793128840).

Almost surely, 2^{14111045829120} is an apocalyptic number.

14111045829120 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 14111045829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24253801228800).

14111045829120 is an abundant number, since it is smaller than the sum of its proper divisors (34396556628480).

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

14111045829120 is a wasteful number, since it uses less digits than its factorization.

14111045829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The spelling of 14111045829120 in words is "fourteen trillion, one hundred eleven billion, forty-five million, eight hundred twenty-nine thousand, one hundred twenty".