14129119536000 has 256 divisors, whose sum is σ = 53529179857920. Its totient is φ = 3229512960000.

The previous prime is 14129119535987. The next prime is 14129119536073. The reversal of 14129119536000 is 63591192141.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 20689476 + ... + 21361475.

It is an arithmetic number, because the mean of its divisors is an integer number (209098358820).

Almost surely, 2^{14129119536000} is an apocalyptic number.

14129119536000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14129119536000 is an abundant number, since it is smaller than the sum of its proper divisors (39400060321920).

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

14129119536000 is an equidigital number, since it uses as much as digits as its factorization.

14129119536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42050990 (or 42050968 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 14129119536000 in words is "fourteen trillion, one hundred twenty-nine billion, one hundred nineteen million, five hundred thirty-six thousand".