14129434350720 has 1280 divisors, whose sum is σ = 57229873747200. Its totient is φ = 3295881363456.

The previous prime is 14129434350641. The next prime is 14129434350749. The reversal of 14129434350720 is 2705343492141.

14129434350720 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 94 + 34 + 3 + 507 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1689513259 + ... + 1689521621.

It is an arithmetic number, because the mean of its divisors is an integer number (44710838865).

Almost surely, 2^{14129434350720} is an apocalyptic number.

14129434350720 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 14129434350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28614936873600).

14129434350720 is an abundant number, since it is smaller than the sum of its proper divisors (43100439396480).

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

14129434350720 is a wasteful number, since it uses less digits than its factorization.

14129434350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8539 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 14129434350720 in words is "fourteen trillion, one hundred twenty-nine billion, four hundred thirty-four million, three hundred fifty thousand, seven hundred twenty".